{"id":297568,"date":"2026-03-08T13:53:51","date_gmt":"2026-03-08T08:23:51","guid":{"rendered":"https:\/\/www.aakash.ac.in\/blog\/?post_type=web-story&#038;p=297568"},"modified":"2026-03-08T13:58:06","modified_gmt":"2026-03-08T08:28:06","slug":"important-maths-formulas-class-12-with-memory-tricks","status":"publish","type":"web-story","link":"https:\/\/www.aakash.ac.in\/blog\/web-stories\/important-maths-formulas-class-12-with-memory-tricks\/","title":{"rendered":"Important Class 12 Maths Formulas: List with Memory Tricks"},"content":{"rendered":"<p><html amp=\"\" lang=\"en\"><head><meta charSet=\"utf-8\"\/><meta name=\"viewport\" content=\"width=device-width,minimum-scale=1,initial-scale=1\"\/><script async=\"\" src=\"https:\/\/cdn.ampproject.org\/v0.js\"><\/script><script async=\"\" src=\"https:\/\/cdn.ampproject.org\/v0\/amp-story-1.0.js\" custom-element=\"amp-story\"><\/script><link 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publisher-logo-src=\"https:\/\/blogcdn.aakash.ac.in\/wordpress_media\/2022\/08\/blue.png\" title=\"Important Class 12 Maths Formulas: List with Memory Tricks\" poster-portrait-src=\"https:\/\/blogcdn.aakash.ac.in\/wordpress_media\/2026\/03\/cropped-Screenshot-2026-03-08-134304.png\"><amp-story-page id=\"be338d86-6feb-41e4-98d0-0b05151d8fe0\" auto-advance-after=\"5s\"><amp-story-grid-layer template=\"vertical\" aspect-ratio=\"412:618\" class=\"grid-layer\"><\/p>\n<div class=\"page-fullbleed-area\" style=\"background-color:#fff\">\n<div class=\"page-safe-area\">\n<div style=\"position:absolute;pointer-events:none;left:0;top:-9.25926%;width:100%;height:118.51852%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0\" class=\"mask\" id=\"el-63dd7842-330d-4a78-a42e-91403d23e1d5\">\n<div class=\"fill\" style=\"will-change:transform\"><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p><\/amp-story-grid-layer><amp-story-grid-layer template=\"vertical\" aspect-ratio=\"412:618\" class=\"grid-layer\"><\/p>\n<div class=\"page-fullbleed-area\">\n<div class=\"page-safe-area\">\n<div style=\"position:absolute;pointer-events:none;left:0;top:-9.2233%;width:100%;height:47.411%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0\" class=\"mask\" id=\"el-5dddf739-bb1a-42f4-a808-f6942ad35f68\">\n<div style=\"position:absolute;width:101.595%;height:100%;left:-0.7975%;top:0%\" data-leaf-element=\"true\"><amp-img layout=\"fill\" src=\"https:\/\/blogcdn.aakash.ac.in\/wordpress_media\/2026\/02\/Important-Class-12-Maths-Formulas-List-with-Memory-Tricks.png\" alt=\"Important Class 12 Maths Formulas List with Memory Tricks\" srcSet=\"https:\/\/blogcdn.aakash.ac.in\/wordpress_media\/2026\/02\/Important-Class-12-Maths-Formulas-List-with-Memory-Tricks.png 600w,https:\/\/blogcdn.aakash.ac.in\/wordpress_media\/2026\/02\/Important-Class-12-Maths-Formulas-List-with-Memory-Tricks-300x210.png 300w,https:\/\/blogcdn.aakash.ac.in\/wordpress_media\/2026\/02\/Important-Class-12-Maths-Formulas-List-with-Memory-Tricks-150x105.png 150w\" sizes=\"(min-width: 1024px) 45vh, 100vw\" disable-inline-width=\"true\"><\/amp-img><\/div>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:15.04854%;top:42.39482%;width:69.90291%;height:16.99029%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:0.6944444444444444% 0.6944444444444444% 0.6944444444444444% 0.6944444444444444% \/ 1.9047619047619049% 1.9047619047619049% 1.9047619047619049% 1.9047619047619049%\" id=\"el-0c6dc784-a179-4450-b066-193a388837cd\">\n<h1 class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:3.7111070421006946% 0;font-family:&quot;Anton&quot;,sans-serif;font-size:1.132686em;line-height:1.2;text-align:left;padding:0;color:#000000\"><span><span style=\"color: #b82121\">Important<\/span><\/span><\/h1>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:2.42718%;top:69.09385%;width:97.57282%;height:26.69903%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:0.4975124378109453% 0.4975124378109453% 0.4975124378109453% 0.4975124378109453% \/ 1.2121212121212122% 1.2121212121212122% 1.2121212121212122% 1.2121212121212122%\" id=\"el-24f9e06a-05ee-432b-9f4b-d0d425866982\">\n<h2 class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:0.44776119402985093% 0;font-family:&quot;Lora&quot;,serif;font-size:0.728155em;line-height:1.2;text-align:center;padding:0;color:#000000\"><span><span style=\"font-weight: 700; color: #0c3a96\">Formulas:&nbsp;<\/span><br \/>\n<span style=\"font-weight: 700; color: #0c3a96\">List with Memory Tricks<\/span><\/span><\/h2>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:-4.12621%;top:56.47249%;width:112.62136%;height:12.62136%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:0.43103448275862066% 0.43103448275862066% 0.43103448275862066% 0.43103448275862066% \/ 2.564102564102564% 2.564102564102564% 2.564102564102564% 2.564102564102564%\" id=\"el-d55c480a-40f6-40bc-ba77-47aab6b6b4f4\">\n<h2 class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:1.8803879310344833% 0;font-family:&quot;BioRhyme&quot;,serif;font-size:0.809061em;line-height:1.2;text-align:center;padding:0;color:#000000\"><span><span style=\"font-weight: 700\">Class 12 Maths&nbsp;<\/span><\/span><\/h2>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p><\/amp-story-grid-layer><\/amp-story-page><amp-story-page id=\"03220152-981e-44d7-a0f7-b39f5fa2de74\" auto-advance-after=\"5s\"><amp-story-animation layout=\"nodisplay\" trigger=\"visibility\"><script type=\"application\/json\">[{\"selector\":\"#anim-3ba1f6dd-7389-4422-b918-3ab1c855d7c0\",\"keyframes\":[{\"offset\":0,\"transform\":\"translate3d(0, -169.22862%, 0)\",\"easing\":\"cubic-bezier(.5, 0, 1, 1)\"},{\"offset\":0.29,\"transform\":\"translate3d(0, 0%, 0)\",\"easing\":\"cubic-bezier(0, 0, .5, 1)\"},{\"offset\":0.45,\"transform\":\"translate3d(0, -47.587087944000004%, 0)\",\"easing\":\"cubic-bezier(.5, 0, 1, 1)\"},{\"offset\":0.61,\"transform\":\"translate3d(0, 0%, 0)\",\"easing\":\"cubic-bezier(0, 0, .5, 1)\"},{\"offset\":0.71,\"transform\":\"translate3d(0, -16.178256072%, 0)\",\"easing\":\"cubic-bezier(.5, 0, 1, 1)\"},{\"offset\":0.8,\"transform\":\"translate3d(0, 0%, 0)\",\"easing\":\"cubic-bezier(0, 0, .5, 1)\"},{\"offset\":0.85,\"transform\":\"translate3d(0, -6.075307458%, 0)\",\"easing\":\"cubic-bezier(.5, 0, 1, 1)\"},{\"offset\":0.92,\"transform\":\"translate3d(0, 0%, 0)\",\"easing\":\"cubic-bezier(0, 0, .5, 1)\"},{\"offset\":0.96,\"transform\":\"translate3d(0, -2.639966472%, 0)\",\"easing\":\"cubic-bezier(.5, 0, 1, 1)\"},{\"offset\":1,\"transform\":\"translate3d(0, 0%, 0)\",\"easing\":\"cubic-bezier(0, 0, .5, 1)\"}],\"delay\":0,\"duration\":600,\"fill\":\"both\"}]<\/script><\/amp-story-animation><amp-story-animation layout=\"nodisplay\" trigger=\"visibility\"><script type=\"application\/json\">[{\"selector\":\"#anim-09a85c61-6772-4788-9e0a-7aaea2cae53e\",\"keyframes\":{\"transform\":[\"translate3d(102.79898%, 0px, 0)\",\"translate3d(0px, 0px, 0)\"]},\"delay\":0,\"duration\":1000,\"easing\":\"cubic-bezier(.2, 0, .8, 1)\",\"fill\":\"both\"}]<\/script><\/amp-story-animation><amp-story-animation layout=\"nodisplay\" trigger=\"visibility\"><script type=\"application\/json\">[{\"selector\":\"#anim-c29ea89c-de1e-4138-959b-08638f211265\",\"keyframes\":{\"transform\":[\"rotateZ(180deg)\",\"rotateZ(0deg)\"]},\"delay\":0,\"duration\":1000,\"easing\":\"cubic-bezier(.2, 0, .5, 1)\",\"fill\":\"forwards\"}]<\/script><\/amp-story-animation><amp-story-animation layout=\"nodisplay\" trigger=\"visibility\"><script type=\"application\/json\">[{\"selector\":\"#anim-b38c059c-5ae2-4678-b277-5070e3ddd905\",\"keyframes\":{\"transform\":[\"translate3d(101.76323%, 0px, 0)\",\"translate3d(0px, 0px, 0)\"]},\"delay\":0,\"duration\":600,\"easing\":\"cubic-bezier(0.4, 0.4, 0.0, 1)\",\"fill\":\"both\"}]<\/script><\/amp-story-animation><amp-story-animation layout=\"nodisplay\" trigger=\"visibility\"><script type=\"application\/json\">[{\"selector\":\"#anim-b2783350-ad70-46cc-bff0-f10de160ba74\",\"keyframes\":{\"opacity\":[0,1]},\"delay\":0,\"duration\":600,\"easing\":\"cubic-bezier(0.4, 0.4, 0.0, 1)\",\"fill\":\"both\"}]<\/script><\/amp-story-animation><amp-story-animation layout=\"nodisplay\" trigger=\"visibility\"><script type=\"application\/json\">[{\"selector\":\"#anim-f06389ae-04bf-47e5-bba9-84b3371a13a4\",\"keyframes\":{\"transform\":[\"scale(0.15)\",\"scale(1)\"]},\"delay\":0,\"duration\":600,\"easing\":\"cubic-bezier(0.4, 0.4, 0.0, 1)\",\"fill\":\"forwards\"}]<\/script><\/amp-story-animation><amp-story-grid-layer template=\"vertical\" aspect-ratio=\"412:618\" class=\"grid-layer\"><\/p>\n<div class=\"page-fullbleed-area\" style=\"background-color:#ffd900\">\n<div class=\"page-safe-area\">\n<div style=\"position:absolute;pointer-events:none;left:0;top:-9.25926%;width:100%;height:118.51852%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0\" class=\"mask\" id=\"el-fe0d8b73-eb08-41ec-9b64-c841ab0ddbca\">\n<div class=\"fill\" style=\"will-change:transform\"><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p><\/amp-story-grid-layer><amp-story-grid-layer template=\"vertical\" aspect-ratio=\"412:618\" class=\"grid-layer\"><\/p>\n<div class=\"page-fullbleed-area\">\n<div class=\"page-safe-area\">\n<div style=\"position:absolute;pointer-events:none;left:1.94175%;top:-7.28155%;width:96.35922%;height:24.27184%;opacity:1\">\n<div id=\"anim-b38c059c-5ae2-4678-b277-5070e3ddd905\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:1;--initial-transform:translate3d(101.76323%, 0px, 0)\">\n<div id=\"anim-b2783350-ad70-46cc-bff0-f10de160ba74\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:0;--initial-transform:none\">\n<div id=\"anim-f06389ae-04bf-47e5-bba9-84b3371a13a4\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:1;--initial-transform:scale(0.15)\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:0.5037783375314862% 0.5037783375314862% 0.5037783375314862% 0.5037783375314862% \/ 1.3333333333333335% 1.3333333333333335% 1.3333333333333335% 1.3333333333333335%\" id=\"el-b3ffc295-098b-446e-915c-38854169d2f3\">\n<h1 class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:0.8110831234256923% 0;font-family:&quot;Alegreya&quot;,serif;font-size:0.647249em;line-height:1.2;text-align:center;padding:0;color:#000000\"><span><span style=\"font-weight: 700; color: #b82121\">Class 12 Maths<\/span><br \/>\n<span style=\"font-weight: 700\">&nbsp;All Formulas Chapter Wise<\/span><\/span><\/h1>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:1.94175%;top:23.6246%;width:95.38835%;height:7.9288%;opacity:1\">\n<div id=\"anim-09a85c61-6772-4788-9e0a-7aaea2cae53e\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:1;--initial-transform:translate3d(102.79898%, 0px, 0)\">\n<div id=\"anim-c29ea89c-de1e-4138-959b-08638f211265\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:1;--initial-transform:rotateZ(180deg)\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:0.5089058524173028% 0.5089058524173028% 0.5089058524173028% 0.5089058524173028% \/ 4.081632653061225% 4.081632653061225% 4.081632653061225% 4.081632653061225%\" id=\"el-1ec40db0-fcdf-4eee-84a1-2ab83c36de9a\">\n<h2 class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:1.2432410941475829% 0;font-family:&quot;Anton&quot;,sans-serif;font-size:0.517799em;line-height:1.2;text-align:left;padding:0;color:#000000\"><span><span style=\"color: #0044c9\">1. Vector Algebra Formulas:<\/span><\/span><\/h2>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:3.39806%;top:35.43689%;width:96.84466%;height:64.56311%;opacity:1\">\n<div id=\"anim-3ba1f6dd-7389-4422-b918-3ab1c855d7c0\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:1;--initial-transform:translate3d(0, -169.22862%, 0)\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:0.5012531328320802% 0.5012531328320802% 0.5012531328320802% 0.5012531328320802% \/ 0.5012531328320802% 0.5012531328320802% 0.5012531328320802% 0.5012531328320802%\" id=\"el-bc771b0c-a048-4ada-b3c0-02c3069c3bcd\">\n<h3 class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:0.44385964912280723% 0;font-family:&quot;Alegreya&quot;,serif;font-size:0.355987em;line-height:1.2;text-align:left;padding:0;color:#000000\"><span><span style=\"font-weight: 700; color: #b82121\">Position Vector \u2014 OP = \u221a(x\u00b2 + y\u00b2 + z\u00b2)<\/span><\/p>\n<p><span style=\"font-weight: 700; color: #b82121\">Vector Relation \u2014 PQ + QR = PR<\/span><\/p>\n<p><span style=\"font-weight: 700; color: #b82121\">Commutative Law \u2014 A + B = B + A<\/span><\/p>\n<p><span style=\"font-weight: 700; color: #b82121\">Associative Law \u2014 A + (B + C) = (A + B) + C<\/span><\/p>\n<p><span style=\"font-weight: 700; color: #b82121\">Dot Product \u2014 A \u00b7 B = |A| |B| cos\u03b8<\/span><\/p>\n<p><span style=\"font-weight: 700; color: #b82121\">Cross Product \u2014 A \u00d7 B = |A| |B| sin\u03b8<\/span><\/p>\n<p><span style=\"font-weight: 700; color: #b82121\">Scalar Multiplication \u2014 k(A + B) = kA + kB<\/span><\/p>\n<p><span style=\"font-weight: 700; color: #b82121\">Additive Identity \u2014 A + 0 = A<\/span><\/span><\/h3>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p><\/amp-story-grid-layer><\/amp-story-page><amp-story-page id=\"f5dbbc01-ac87-4ac0-a0f9-b13562243887\" auto-advance-after=\"5s\"><amp-story-animation layout=\"nodisplay\" trigger=\"visibility\"><script type=\"application\/json\">[{\"selector\":\"#anim-ed134bba-8b43-4f84-96aa-dc3774c3b9f2\",\"keyframes\":{\"opacity\":[0,1]},\"delay\":0,\"duration\":2000,\"easing\":\"cubic-bezier(.3,0,.55,1)\",\"fill\":\"both\"}]<\/script><\/amp-story-animation><amp-story-animation layout=\"nodisplay\" trigger=\"visibility\"><script type=\"application\/json\">[{\"selector\":\"#anim-9effb436-4d87-4956-9f16-2751eba6e9ac\",\"keyframes\":{\"transform\":[\"scale(0.3333333333333333)\",\"scale(1)\"]},\"delay\":0,\"duration\":2000,\"easing\":\"cubic-bezier(.3,0,.55,1)\",\"fill\":\"forwards\"}]<\/script><\/amp-story-animation><amp-story-animation layout=\"nodisplay\" trigger=\"visibility\"><script type=\"application\/json\">[{\"selector\":\"#anim-ed974d1d-e8e5-456d-84c3-d6041dadf038\",\"keyframes\":{\"opacity\":[0,1]},\"delay\":0,\"duration\":600,\"easing\":\"cubic-bezier(0.2, 0.6, 0.0, 1)\",\"fill\":\"both\"}]<\/script><\/amp-story-animation><amp-story-animation layout=\"nodisplay\" trigger=\"visibility\"><script type=\"application\/json\">[{\"selector\":\"#anim-1675872c-3449-4ecf-bb9d-369f6b4822ef\",\"keyframes\":{\"transform\":[\"translate3d(92.23529%, 0px, 0)\",\"translate3d(0px, 0px, 0)\"]},\"delay\":0,\"duration\":600,\"easing\":\"cubic-bezier(0.2, 0.6, 0.0, 1)\",\"fill\":\"both\"}]<\/script><\/amp-story-animation><amp-story-grid-layer template=\"vertical\" aspect-ratio=\"412:618\" class=\"grid-layer\"><\/p>\n<div class=\"page-fullbleed-area\" style=\"background-color:#fff\">\n<div class=\"page-safe-area\">\n<div style=\"position:absolute;pointer-events:none;left:0;top:-9.25926%;width:100%;height:118.51852%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0\" class=\"mask\" id=\"el-59463b45-54e8-4bb8-ba14-597b88ec99a4\">\n<div class=\"fill\" style=\"will-change:transform\"><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p><\/amp-story-grid-layer><amp-story-grid-layer template=\"vertical\" aspect-ratio=\"412:618\" class=\"grid-layer\"><\/p>\n<div class=\"page-fullbleed-area\">\n<div class=\"page-safe-area\">\n<div style=\"position:absolute;pointer-events:none;left:4.85437%;top:7.28155%;width:95.38835%;height:14.07767%;opacity:1\">\n<div id=\"anim-ed134bba-8b43-4f84-96aa-dc3774c3b9f2\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:0;--initial-transform:none\">\n<div id=\"anim-9effb436-4d87-4956-9f16-2751eba6e9ac\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:1;--initial-transform:scale(0.3333333333333333)\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:0.5089058524173028% 0.5089058524173028% 0.5089058524173028% 0.5089058524173028% \/ 2.2988505747126435% 2.2988505747126435% 2.2988505747126435% 2.2988505747126435%\" id=\"el-2c2a9e1c-8824-4114-b46b-a49fbc69ff0d\">\n<h2 class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:1.2432410941475829% 0;font-family:&quot;Anton&quot;,sans-serif;font-size:0.517799em;line-height:1.2;text-align:left;padding:0;color:#000000\"><span><span style=\"color: #b82121\">Trigonometry (Inverse) Formulas:<\/span><\/span><\/h2>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:4.85437%;top:24.27184%;width:103.15534%;height:54.04531%;opacity:1\">\n<div id=\"anim-ed974d1d-e8e5-456d-84c3-d6041dadf038\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:0;--initial-transform:none\">\n<div id=\"anim-1675872c-3449-4ecf-bb9d-369f6b4822ef\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:1;--initial-transform:translate3d(92.23529%, 0px, 0)\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:0.4705882352941176% 0.4705882352941176% 0.4705882352941176% 0.4705882352941176% \/ 0.5988023952095809% 0.5988023952095809% 0.5988023952095809% 0.5988023952095809%\" id=\"el-b9ce6ef3-2aa2-4269-9a5d-d62588114d56\">\n<h3 class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:0.4735294117647057% 0;font-family:&quot;Alegreya&quot;,serif;font-size:0.404531em;line-height:1.2;text-align:left;padding:0;color:#000000\"><span><span style=\"font-weight: 700; color: #0c3a96\">Negative Identity \u2014 sin\u207b\u00b9(\u2212x) = \u2212sin\u207b\u00b9x<\/span><\/p>\n<p><span style=\"font-weight: 700; color: #0c3a96\">Cos Identity \u2014 cos\u207b\u00b9(\u2212x) = \u03c0 \u2212 cos\u207b\u00b9x<\/span><\/p>\n<p><span style=\"font-weight: 700; color: #0c3a96\">Tan Identity \u2014 tan\u207b\u00b9(\u2212x) = \u2212tan\u207b\u00b9x<\/span><\/p>\n<p><span style=\"font-weight: 700; color: #0c3a96\">Cot Identity \u2014 cot\u207b\u00b9(\u2212x) = \u03c0 \u2212 cot\u207b\u00b9x<\/span><\/p>\n<p><span style=\"font-weight: 700; color: #0c3a96\">Sum Identity \u2014 sin\u207b\u00b9x + cos\u207b\u00b9x = \u03c0\/2<\/span><\/p>\n<p><span style=\"font-weight: 700; color: #0c3a96\">Sum Identity \u2014 tan\u207b\u00b9x + cot\u207b\u00b9x = \u03c0\/2<\/span><\/span><\/h3>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p><\/amp-story-grid-layer><\/amp-story-page><amp-story-page id=\"2c51a5f5-6ffe-4406-aa9d-c7fd09d25a38\" auto-advance-after=\"5s\"><amp-story-animation layout=\"nodisplay\" trigger=\"visibility\"><script type=\"application\/json\">[{\"selector\":\"#anim-1afb53a9-d652-4825-a2c7-689a1491ccb2\",\"keyframes\":[{\"offset\":0,\"transform\":\"translate3d(0, -414.8148%, 0)\",\"easing\":\"cubic-bezier(.5, 0, 1, 1)\"},{\"offset\":0.29,\"transform\":\"translate3d(0, 0%, 0)\",\"easing\":\"cubic-bezier(0, 0, .5, 1)\"},{\"offset\":0.45,\"transform\":\"translate3d(0, -116.64592176%, 0)\",\"easing\":\"cubic-bezier(.5, 0, 1, 1)\"},{\"offset\":0.61,\"transform\":\"translate3d(0, 0%, 0)\",\"easing\":\"cubic-bezier(0, 0, .5, 1)\"},{\"offset\":0.71,\"transform\":\"translate3d(0, -39.656294880000004%, 0)\",\"easing\":\"cubic-bezier(.5, 0, 1, 1)\"},{\"offset\":0.8,\"transform\":\"translate3d(0, 0%, 0)\",\"easing\":\"cubic-bezier(0, 0, .5, 1)\"},{\"offset\":0.85,\"transform\":\"translate3d(0, -14.89185132%, 0)\",\"easing\":\"cubic-bezier(.5, 0, 1, 1)\"},{\"offset\":0.92,\"transform\":\"translate3d(0, 0%, 0)\",\"easing\":\"cubic-bezier(0, 0, .5, 1)\"},{\"offset\":0.96,\"transform\":\"translate3d(0, -6.4711108799999995%, 0)\",\"easing\":\"cubic-bezier(.5, 0, 1, 1)\"},{\"offset\":1,\"transform\":\"translate3d(0, 0%, 0)\",\"easing\":\"cubic-bezier(0, 0, .5, 1)\"}],\"delay\":0,\"duration\":600,\"fill\":\"both\"}]<\/script><\/amp-story-animation><amp-story-animation layout=\"nodisplay\" trigger=\"visibility\"><script type=\"application\/json\">[{\"selector\":\"#anim-6a969984-5fa9-444e-b309-399de4a5d4e5\",\"keyframes\":[{\"offset\":0,\"transform\":\"translate3d(0, -656.98007%, 0)\",\"easing\":\"cubic-bezier(.5, 0, 1, 1)\"},{\"offset\":0.29,\"transform\":\"translate3d(0, 0%, 0)\",\"easing\":\"cubic-bezier(0, 0, .5, 1)\"},{\"offset\":0.45,\"transform\":\"translate3d(0, -184.742795684%, 0)\",\"easing\":\"cubic-bezier(.5, 0, 1, 1)\"},{\"offset\":0.61,\"transform\":\"translate3d(0, 0%, 0)\",\"easing\":\"cubic-bezier(0, 0, .5, 1)\"},{\"offset\":0.71,\"transform\":\"translate3d(0, -62.807294692%, 0)\",\"easing\":\"cubic-bezier(.5, 0, 1, 1)\"},{\"offset\":0.8,\"transform\":\"translate3d(0, 0%, 0)\",\"easing\":\"cubic-bezier(0, 0, .5, 1)\"},{\"offset\":0.85,\"transform\":\"translate3d(0, -23.585584513%, 0)\",\"easing\":\"cubic-bezier(.5, 0, 1, 1)\"},{\"offset\":0.92,\"transform\":\"translate3d(0, 0%, 0)\",\"easing\":\"cubic-bezier(0, 0, .5, 1)\"},{\"offset\":0.96,\"transform\":\"translate3d(0, -10.248889091999999%, 0)\",\"easing\":\"cubic-bezier(.5, 0, 1, 1)\"},{\"offset\":1,\"transform\":\"translate3d(0, 0%, 0)\",\"easing\":\"cubic-bezier(0, 0, .5, 1)\"}],\"delay\":0,\"duration\":600,\"fill\":\"both\"}]<\/script><\/amp-story-animation><amp-story-animation layout=\"nodisplay\" trigger=\"visibility\"><script type=\"application\/json\">[{\"selector\":\"#anim-179bf037-5aca-431b-bee8-de3611a644ce\",\"keyframes\":{\"transform\":[\"scale(1)\",\"scale(1.5)\",\"scale(0.95)\",\"scale(1)\"],\"offset\":[0,0.33,0.66,1]},\"delay\":0,\"duration\":1450,\"easing\":\"ease-in-out\",\"fill\":\"both\",\"iterations\":1}]<\/script><\/amp-story-animation><amp-story-grid-layer template=\"vertical\" aspect-ratio=\"412:618\" class=\"grid-layer\"><\/p>\n<div class=\"page-fullbleed-area\" style=\"background-color:#e7e8e9\">\n<div class=\"page-safe-area\">\n<div style=\"position:absolute;pointer-events:none;left:0;top:-9.25926%;width:100%;height:118.51852%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0\" class=\"mask\" id=\"el-f96bba37-2f92-4f78-b4f2-912059da7b16\">\n<div style=\"position:absolute;width:118.48958%;height:100%;left:-9.24479%;top:0%\" data-leaf-element=\"true\"><amp-img layout=\"fill\" src=\"https:\/\/blogcdn.aakash.ac.in\/wordpress_media\/2026\/03\/compressed_under_1mb.jpg\" alt=\"\" srcSet=\"https:\/\/blogcdn.aakash.ac.in\/wordpress_media\/2026\/03\/compressed_under_1mb.jpg 1365w,https:\/\/blogcdn.aakash.ac.in\/wordpress_media\/2026\/03\/compressed_under_1mb-1200x1800.jpg 1200w,https:\/\/blogcdn.aakash.ac.in\/wordpress_media\/2026\/03\/compressed_under_1mb-1140x1710.jpg 1140w,https:\/\/blogcdn.aakash.ac.in\/wordpress_media\/2026\/03\/compressed_under_1mb-1024x1536.jpg 1024w,https:\/\/blogcdn.aakash.ac.in\/wordpress_media\/2026\/03\/compressed_under_1mb-768x1152.jpg 768w,https:\/\/blogcdn.aakash.ac.in\/wordpress_media\/2026\/03\/compressed_under_1mb-750x1125.jpg 750w,https:\/\/blogcdn.aakash.ac.in\/wordpress_media\/2026\/03\/compressed_under_1mb-683x1024.jpg 683w,https:\/\/blogcdn.aakash.ac.in\/wordpress_media\/2026\/03\/compressed_under_1mb-200x300.jpg 200w,https:\/\/blogcdn.aakash.ac.in\/wordpress_media\/2026\/03\/compressed_under_1mb-150x225.jpg 150w\" sizes=\"(min-width: 1024px) 53vh, 119vw\" disable-inline-width=\"true\"><\/amp-img><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p><\/amp-story-grid-layer><amp-story-grid-layer template=\"vertical\" aspect-ratio=\"412:618\" class=\"grid-layer\"><\/p>\n<div class=\"page-fullbleed-area\">\n<div class=\"page-safe-area\">\n<div style=\"position:absolute;pointer-events:none;left:5.33981%;top:-3.23625%;width:135.19417%;height:11.16505%;opacity:1\">\n<div id=\"anim-1afb53a9-d652-4825-a2c7-689a1491ccb2\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:1;--initial-transform:translate3d(0, -414.8148%, 0)\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:0.3590664272890485% 0.3590664272890485% 0.3590664272890485% 0.3590664272890485% \/ 2.898550724637681% 2.898550724637681% 2.898550724637681% 2.898550724637681%\" id=\"el-792337e0-a897-4a72-8bd0-87b2f6637060\">\n<h1 class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:1.2335457108393177% 0;font-family:&quot;Anton&quot;,sans-serif;font-size:0.728155em;line-height:1.2;text-align:left;padding:0;color:#000000\"><span>Calculus Formulas:<\/span><\/h1>\n<\/div>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:18.4466%;top:19.25566%;width:76.69903%;height:6.31068%;opacity:1\">\n<div id=\"anim-6a969984-5fa9-444e-b309-399de4a5d4e5\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:1;--initial-transform:translate3d(0, -656.98007%, 0)\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:0.6329113924050633% 0.6329113924050633% 0.6329113924050633% 0.6329113924050633% \/ 5.128205128205128% 5.128205128205128% 5.128205128205128% 5.128205128205128%\" id=\"el-ca8dc8d7-70ed-4ed4-9a2a-abb12f1e90fa\">\n<h3 class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:1.2562734869462027% 0;font-family:&quot;Anton&quot;,sans-serif;font-size:0.420712em;line-height:1.2;text-align:left;padding:0;color:#000000\"><span><span style=\"color: #0c3a96\">Basic Integration Formulas<\/span><\/span><\/h3>\n<\/div>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:15.29126%;top:32.03883%;width:87.37864%;height:30.09709%;opacity:1\">\n<div id=\"anim-179bf037-5aca-431b-bee8-de3611a644ce\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:1;--initial-transform:scale(1)\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:0.5555555555555556% 0.5555555555555556% 0.5555555555555556% 0.5555555555555556% \/ 1.0752688172043012% 1.0752688172043012% 1.0752688172043012% 1.0752688172043012%\" id=\"el-034c30d7-aa68-478a-a86b-dc780a1dffe5\">\n<p class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:0.38013888888888914% 0;font-family:&quot;Alegreya&quot;,serif;font-size:0.275081em;line-height:1.2;text-align:left;padding:0;color:#000000\"><span><span style=\"font-weight: 700; -webkit-background-clip: text; -webkit-text-fill-color: transparent; background-image: linear-gradient(0turn, #9a3a4c 0%, #8d5d44 100%); background-clip: text\">Power Rule \u2014 \u222b x\u207f dx = x\u207f\u207a\u00b9 \/ (n+1) + C<\/span><\/p>\n<p><span style=\"font-weight: 700; -webkit-background-clip: text; -webkit-text-fill-color: transparent; background-image: linear-gradient(0turn, #9a3a4c 0%, #8d5d44 100%); background-clip: text\">Exponential \u2014 \u222b e\u02e3 dx = e\u02e3 + C<\/span><\/p>\n<p><span style=\"font-weight: 700; -webkit-background-clip: text; -webkit-text-fill-color: transparent; background-image: linear-gradient(0turn, #9a3a4c 0%, #8d5d44 100%); background-clip: text\">General Exponential \u2014 \u222b a\u02e3 dx = a\u02e3 \/ ln(a) + C<\/span><\/p>\n<p><span style=\"font-weight: 700; -webkit-background-clip: text; -webkit-text-fill-color: transparent; background-image: linear-gradient(0turn, #9a3a4c 0%, #8d5d44 100%); background-clip: text\">Log Function \u2014 \u222b ln(x) dx = x ln(x) \u2212 x + C<\/span><\/p>\n<p><span style=\"font-weight: 700; -webkit-background-clip: text; -webkit-text-fill-color: transparent; background-image: linear-gradient(0turn, #9a3a4c 0%, #8d5d44 100%); background-clip: text\">Reciprocal \u2014 \u222b (1\/x) dx = ln|x| + C<\/span><\/span><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p><\/amp-story-grid-layer><\/amp-story-page><amp-story-page id=\"1c3b4cf4-f30c-43ff-ae1e-829e3fc1a830\" auto-advance-after=\"5s\"><amp-story-grid-layer template=\"vertical\" aspect-ratio=\"412:618\" class=\"grid-layer\"><\/p>\n<div class=\"page-fullbleed-area\" style=\"background-color:#fff\">\n<div class=\"page-safe-area\">\n<div style=\"position:absolute;pointer-events:none;left:0;top:-9.25926%;width:100%;height:118.51852%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0\" class=\"mask\" id=\"el-af3fd290-448f-44de-a9ef-02857e32a74d\">\n<div class=\"fill\" style=\"will-change:transform\"><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p><\/amp-story-grid-layer><amp-story-grid-layer template=\"vertical\" aspect-ratio=\"412:618\" class=\"grid-layer\"><\/p>\n<div class=\"page-fullbleed-area\">\n<div class=\"page-safe-area\">\n<div style=\"position:absolute;pointer-events:none;left:11.65049%;top:-5.33981%;width:100.72816%;height:5.33981%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:0.48192771084337355% 0.48192771084337355% 0.48192771084337355% 0.48192771084337355% \/ 6.0606060606060606% 6.0606060606060606% 6.0606060606060606% 6.0606060606060606%\" id=\"el-7b77681b-6f94-477e-b1ce-3c24bf0c56fe\">\n<h2 class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:-0.09487951807228932% 0;font-family:&quot;Roboto&quot;,sans-serif;font-size:0.453074em;line-height:1.2;text-align:left;padding:0;color:#000000\"><span><span style=\"font-weight: 700\">Trigonometric Integration:<\/span><\/span><\/h2>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:-0.72816%;top:50%;width:100.72816%;height:5.50162%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:0.48192771084337355% 0.48192771084337355% 0.48192771084337355% 0.48192771084337355% \/ 5.88235294117647% 5.88235294117647% 5.88235294117647% 5.88235294117647%\" id=\"el-ea4c8993-aa38-44ea-bdd7-debc55d63aba\">\n<h2 class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:-0.09487951807228932% 0;font-family:&quot;Roboto&quot;,sans-serif;font-size:0.453074em;line-height:1.2;text-align:center;padding:0;color:#000000\"><span><span style=\"font-weight: 700\">Rules of Integration:<\/span><\/span><\/h2>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:0;top:82.52427%;width:100.72816%;height:5.33981%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:0.48192771084337355% 0.48192771084337355% 0.48192771084337355% 0.48192771084337355% \/ 6.0606060606060606% 6.0606060606060606% 6.0606060606060606% 6.0606060606060606%\" id=\"el-bb43282e-4c8d-4fde-b97d-53e955d92830\">\n<h2 class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:-0.09487951807228932% 0;font-family:&quot;Roboto&quot;,sans-serif;font-size:0.453074em;line-height:1.2;text-align:center;padding:0;color:#000000\"><span><span style=\"font-weight: 700\">Special Case<\/span><\/span><\/h2>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:2.6699%;top:3.39806%;width:67.71845%;height:43.68932%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0\" class=\"mask\" id=\"el-f610999d-015e-40f7-8316-b57f988b1635\">\n<div style=\"position:absolute;width:100%;height:100.10417%;left:0%;top:-0.05209%\" data-leaf-element=\"true\"><amp-img layout=\"fill\" src=\"https:\/\/blogcdn.aakash.ac.in\/wordpress_media\/2026\/03\/Screenshot-2026-03-08-133542.png\" alt=\"Trigonometric Integration:\n\" srcSet=\"https:\/\/blogcdn.aakash.ac.in\/wordpress_media\/2026\/03\/Screenshot-2026-03-08-133542.png 224w,https:\/\/blogcdn.aakash.ac.in\/wordpress_media\/2026\/03\/Screenshot-2026-03-08-133542-150x145.png 150w\" sizes=\"(min-width: 1024px) 30vh, 68vw\" disable-inline-width=\"true\"><\/amp-img><\/div>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:2.6699%;top:55.50162%;width:83.98058%;height:24.11003%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0\" class=\"mask\" id=\"el-08fad75e-93fb-491b-b152-b0152fa8a484\">\n<div style=\"position:absolute;width:100%;height:127.29382%;left:0%;top:-22.2653%\" data-leaf-element=\"true\"><amp-img layout=\"fill\" src=\"https:\/\/blogcdn.aakash.ac.in\/wordpress_media\/2026\/03\/Screenshot-2026-03-08-133654.png\" alt=\"Rules of Integration:\" srcSet=\"https:\/\/blogcdn.aakash.ac.in\/wordpress_media\/2026\/03\/Screenshot-2026-03-08-133654.png 301w,https:\/\/blogcdn.aakash.ac.in\/wordpress_media\/2026\/03\/Screenshot-2026-03-08-133654-150x82.png 150w\" sizes=\"(min-width: 1024px) 38vh, 84vw\" disable-inline-width=\"true\"><\/amp-img><\/div>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:1.45631%;top:88.02589%;width:97.57282%;height:9.2233%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0\" class=\"mask\" id=\"el-211af59c-d9c9-4951-b209-f6e016fb3025\">\n<div style=\"position:absolute;width:100%;height:114.18548%;left:0%;top:-7.09274%\" data-leaf-element=\"true\"><amp-img layout=\"fill\" src=\"https:\/\/blogcdn.aakash.ac.in\/wordpress_media\/2026\/03\/Screenshot-2026-03-08-133824.png\" alt=\"Calculus Formula Special Case\" srcSet=\"https:\/\/blogcdn.aakash.ac.in\/wordpress_media\/2026\/03\/Screenshot-2026-03-08-133824.png 420w\" sizes=\"(min-width: 1024px) 44vh, 98vw\" disable-inline-width=\"true\"><\/amp-img><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p><\/amp-story-grid-layer><\/amp-story-page><amp-story-page id=\"8ddc676c-f995-4673-addb-2e01509ad778\" auto-advance-after=\"5s\"><amp-story-animation layout=\"nodisplay\" trigger=\"visibility\"><script type=\"application\/json\">[{\"selector\":\"#anim-34a1b2e3-0146-4335-8d89-8fda403cdbe5\",\"keyframes\":[{\"offset\":0,\"transform\":\"translate3d(0, -424.21242%, 0)\",\"easing\":\"cubic-bezier(.5, 0, 1, 1)\"},{\"offset\":0.29,\"transform\":\"translate3d(0, 0%, 0)\",\"easing\":\"cubic-bezier(0, 0, .5, 1)\"},{\"offset\":0.45,\"transform\":\"translate3d(0, -119.288532504%, 0)\",\"easing\":\"cubic-bezier(.5, 0, 1, 1)\"},{\"offset\":0.61,\"transform\":\"translate3d(0, 0%, 0)\",\"easing\":\"cubic-bezier(0, 0, .5, 1)\"},{\"offset\":0.71,\"transform\":\"translate3d(0, -40.554707352%, 0)\",\"easing\":\"cubic-bezier(.5, 0, 1, 1)\"},{\"offset\":0.8,\"transform\":\"translate3d(0, 0%, 0)\",\"easing\":\"cubic-bezier(0, 0, .5, 1)\"},{\"offset\":0.85,\"transform\":\"translate3d(0, -15.229225878000001%, 0)\",\"easing\":\"cubic-bezier(.5, 0, 1, 1)\"},{\"offset\":0.92,\"transform\":\"translate3d(0, 0%, 0)\",\"easing\":\"cubic-bezier(0, 0, .5, 1)\"},{\"offset\":0.96,\"transform\":\"translate3d(0, -6.617713752%, 0)\",\"easing\":\"cubic-bezier(.5, 0, 1, 1)\"},{\"offset\":1,\"transform\":\"translate3d(0, 0%, 0)\",\"easing\":\"cubic-bezier(0, 0, .5, 1)\"}],\"delay\":0,\"duration\":600,\"fill\":\"both\"}]<\/script><\/amp-story-animation><amp-story-animation layout=\"nodisplay\" trigger=\"visibility\"><script type=\"application\/json\">[{\"selector\":\"#anim-9febd597-eca8-4925-93b4-088df4b55f34\",\"keyframes\":[{\"offset\":0,\"transform\":\"translate3d(0, -157.61863%, 0)\",\"easing\":\"cubic-bezier(.5, 0, 1, 1)\"},{\"offset\":0.29,\"transform\":\"translate3d(0, 0%, 0)\",\"easing\":\"cubic-bezier(0, 0, .5, 1)\"},{\"offset\":0.45,\"transform\":\"translate3d(0, -44.322358756%, 0)\",\"easing\":\"cubic-bezier(.5, 0, 1, 1)\"},{\"offset\":0.61,\"transform\":\"translate3d(0, 0%, 0)\",\"easing\":\"cubic-bezier(0, 0, .5, 1)\"},{\"offset\":0.71,\"transform\":\"translate3d(0, -15.068341028%, 0)\",\"easing\":\"cubic-bezier(.5, 0, 1, 1)\"},{\"offset\":0.8,\"transform\":\"translate3d(0, 0%, 0)\",\"easing\":\"cubic-bezier(0, 0, .5, 1)\"},{\"offset\":0.85,\"transform\":\"translate3d(0, -5.658508817%, 0)\",\"easing\":\"cubic-bezier(.5, 0, 1, 1)\"},{\"offset\":0.92,\"transform\":\"translate3d(0, 0%, 0)\",\"easing\":\"cubic-bezier(0, 0, .5, 1)\"},{\"offset\":0.96,\"transform\":\"translate3d(0, -2.458850628%, 0)\",\"easing\":\"cubic-bezier(.5, 0, 1, 1)\"},{\"offset\":1,\"transform\":\"translate3d(0, 0%, 0)\",\"easing\":\"cubic-bezier(0, 0, .5, 1)\"}],\"delay\":0,\"duration\":600,\"fill\":\"both\"}]<\/script><\/amp-story-animation><amp-story-grid-layer template=\"vertical\" aspect-ratio=\"412:618\" class=\"grid-layer\"><\/p>\n<div class=\"page-fullbleed-area\" style=\"background-color:#d0dfe4\">\n<div class=\"page-safe-area\">\n<div style=\"position:absolute;pointer-events:none;left:0;top:-9.25926%;width:100%;height:118.51852%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0\" class=\"mask\" id=\"el-ad631711-d43d-41b5-8f18-de5e83616e6b\">\n<div style=\"position:absolute;width:162.78446%;height:162.78446%;left:0%;top:-62.59028%\" data-leaf-element=\"true\"><amp-img layout=\"fill\" src=\"https:\/\/blogcdn.aakash.ac.in\/wordpress_media\/2026\/02\/JEE-Main-2025-Toppers-List-Out-5.png\" alt=\"cbsc class 10 science all important diagram\" srcSet=\"https:\/\/blogcdn.aakash.ac.in\/wordpress_media\/2026\/02\/JEE-Main-2025-Toppers-List-Out-5.png 1080w,https:\/\/blogcdn.aakash.ac.in\/wordpress_media\/2026\/02\/JEE-Main-2025-Toppers-List-Out-5-864x1536.png 864w,https:\/\/blogcdn.aakash.ac.in\/wordpress_media\/2026\/02\/JEE-Main-2025-Toppers-List-Out-5-768x1365.png 768w,https:\/\/blogcdn.aakash.ac.in\/wordpress_media\/2026\/02\/JEE-Main-2025-Toppers-List-Out-5-750x1333.png 750w,https:\/\/blogcdn.aakash.ac.in\/wordpress_media\/2026\/02\/JEE-Main-2025-Toppers-List-Out-5-576x1024.png 576w,https:\/\/blogcdn.aakash.ac.in\/wordpress_media\/2026\/02\/JEE-Main-2025-Toppers-List-Out-5-169x300.png 169w,https:\/\/blogcdn.aakash.ac.in\/wordpress_media\/2026\/02\/JEE-Main-2025-Toppers-List-Out-5-150x267.png 150w\" sizes=\"(min-width: 1024px) 73vh, 163vw\" disable-inline-width=\"true\"><\/amp-img><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p><\/amp-story-grid-layer><amp-story-grid-layer template=\"vertical\" aspect-ratio=\"412:618\" class=\"grid-layer\"><\/p>\n<div class=\"page-fullbleed-area\">\n<div class=\"page-safe-area\">\n<div style=\"position:absolute;pointer-events:none;left:2.91262%;top:3.8835%;width:135.19417%;height:10.84142%;opacity:1\">\n<div id=\"anim-34a1b2e3-0146-4335-8d89-8fda403cdbe5\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:1;--initial-transform:translate3d(0, -424.21242%, 0)\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:0.3590664272890485% 0.3590664272890485% 0.3590664272890485% 0.3590664272890485% \/ 2.9850746268656714% 2.9850746268656714% 2.9850746268656714% 2.9850746268656714%\" id=\"el-4db2a401-195f-4314-b8c9-1c18a94a953e\">\n<h1 class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:1.2335457108393177% 0;font-family:&quot;Anton&quot;,sans-serif;font-size:0.728155em;line-height:1.2;text-align:left;padding:0;color:#000000\"><span><span style=\"color: #b82121\">Probability Formulas:<\/span><\/span><\/h1>\n<\/div>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:2.91262%;top:22.3301%;width:93.4466%;height:61.00324%;opacity:1\">\n<div id=\"anim-9febd597-eca8-4925-93b4-088df4b55f34\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:1;--initial-transform:translate3d(0, -157.61863%, 0)\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:0.5194805194805194% 0.5194805194805194% 0.5194805194805194% 0.5194805194805194% \/ 0.5305039787798408% 0.5305039787798408% 0.5305039787798408% 0.5305039787798408%\" id=\"el-2be463e7-7f22-47a2-86b4-514f600984ed\">\n<h2 class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:0.6481818181818191% 0;font-family:&quot;Alegreya&quot;,serif;font-size:0.501618em;line-height:1.2;text-align:left;padding:0;color:#000000\"><span><span style=\"font-weight: 700; color: #b82121\">This Class 12 maths chapter is short and scoring.<\/span><\/p>\n<p><span style=\"font-weight: 700; color: #0c3a96\">Concept Formula<\/span><\/p>\n<p><span style=\"font-weight: 700; color: #0c3a96\">Conditional probability P(A|B) = P(A \u2229 B) \/ P(B)<\/span><\/p>\n<p><span style=\"font-weight: 700; color: #0c3a96\">Multiplication theorem P(A \u2229 B) = P(A) P(B|A)<\/span><\/span><\/h2>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p><\/amp-story-grid-layer><\/amp-story-page><amp-story-page id=\"e90bbe0a-b277-4004-95e6-38f8874a067c\" auto-advance-after=\"5s\"><amp-story-animation layout=\"nodisplay\" trigger=\"visibility\"><script type=\"application\/json\">[{\"selector\":\"#anim-0bc1e21e-877b-4daa-8a80-7d537ac6c702\",\"keyframes\":[{\"offset\":0,\"transform\":\"translate3d(0, -824.07398%, 0)\",\"easing\":\"cubic-bezier(.5, 0, 1, 1)\"},{\"offset\":0.29,\"transform\":\"translate3d(0, 0%, 0)\",\"easing\":\"cubic-bezier(0, 0, .5, 1)\"},{\"offset\":0.45,\"transform\":\"translate3d(0, -231.729603176%, 0)\",\"easing\":\"cubic-bezier(.5, 0, 1, 1)\"},{\"offset\":0.61,\"transform\":\"translate3d(0, 0%, 0)\",\"easing\":\"cubic-bezier(0, 0, .5, 1)\"},{\"offset\":0.71,\"transform\":\"translate3d(0, -78.781472488%, 0)\",\"easing\":\"cubic-bezier(.5, 0, 1, 1)\"},{\"offset\":0.8,\"transform\":\"translate3d(0, 0%, 0)\",\"easing\":\"cubic-bezier(0, 0, .5, 1)\"},{\"offset\":0.85,\"transform\":\"translate3d(0, -29.584255882%, 0)\",\"easing\":\"cubic-bezier(.5, 0, 1, 1)\"},{\"offset\":0.92,\"transform\":\"translate3d(0, 0%, 0)\",\"easing\":\"cubic-bezier(0, 0, .5, 1)\"},{\"offset\":0.96,\"transform\":\"translate3d(0, -12.855554088%, 0)\",\"easing\":\"cubic-bezier(.5, 0, 1, 1)\"},{\"offset\":1,\"transform\":\"translate3d(0, 0%, 0)\",\"easing\":\"cubic-bezier(0, 0, .5, 1)\"}],\"delay\":0,\"duration\":600,\"fill\":\"both\"}]<\/script><\/amp-story-animation><amp-story-animation layout=\"nodisplay\" trigger=\"visibility\"><script type=\"application\/json\">[{\"selector\":\"#anim-5ed88664-f004-4987-a913-19f4726734d0\",\"keyframes\":[{\"offset\":0,\"transform\":\"translate3d(0, -204.43376%, 0)\",\"easing\":\"cubic-bezier(.5, 0, 1, 1)\"},{\"offset\":0.29,\"transform\":\"translate3d(0, 0%, 0)\",\"easing\":\"cubic-bezier(0, 0, .5, 1)\"},{\"offset\":0.45,\"transform\":\"translate3d(0, -57.486773312000004%, 0)\",\"easing\":\"cubic-bezier(.5, 0, 1, 1)\"},{\"offset\":0.61,\"transform\":\"translate3d(0, 0%, 0)\",\"easing\":\"cubic-bezier(0, 0, .5, 1)\"},{\"offset\":0.71,\"transform\":\"translate3d(0, -19.543867456%, 0)\",\"easing\":\"cubic-bezier(.5, 0, 1, 1)\"},{\"offset\":0.8,\"transform\":\"translate3d(0, 0%, 0)\",\"easing\":\"cubic-bezier(0, 0, .5, 1)\"},{\"offset\":0.85,\"transform\":\"translate3d(0, -7.339171984000001%, 0)\",\"easing\":\"cubic-bezier(.5, 0, 1, 1)\"},{\"offset\":0.92,\"transform\":\"translate3d(0, 0%, 0)\",\"easing\":\"cubic-bezier(0, 0, .5, 1)\"},{\"offset\":0.96,\"transform\":\"translate3d(0, -3.189166656%, 0)\",\"easing\":\"cubic-bezier(.5, 0, 1, 1)\"},{\"offset\":1,\"transform\":\"translate3d(0, 0%, 0)\",\"easing\":\"cubic-bezier(0, 0, .5, 1)\"}],\"delay\":0,\"duration\":600,\"fill\":\"both\"}]<\/script><\/amp-story-animation><amp-story-animation layout=\"nodisplay\" trigger=\"visibility\"><script type=\"application\/json\">[{\"selector\":\"#anim-3ee48222-7aec-40dc-ab46-1eb587ab8ea2\",\"keyframes\":[{\"offset\":0,\"transform\":\"translate3d(0, -729.73833%, 0)\",\"easing\":\"cubic-bezier(.5, 0, 1, 1)\"},{\"offset\":0.29,\"transform\":\"translate3d(0, 0%, 0)\",\"easing\":\"cubic-bezier(0, 0, .5, 1)\"},{\"offset\":0.45,\"transform\":\"translate3d(0, -205.202418396%, 0)\",\"easing\":\"cubic-bezier(.5, 0, 1, 1)\"},{\"offset\":0.61,\"transform\":\"translate3d(0, 0%, 0)\",\"easing\":\"cubic-bezier(0, 0, .5, 1)\"},{\"offset\":0.71,\"transform\":\"translate3d(0, -69.762984348%, 0)\",\"easing\":\"cubic-bezier(.5, 0, 1, 1)\"},{\"offset\":0.8,\"transform\":\"translate3d(0, 0%, 0)\",\"easing\":\"cubic-bezier(0, 0, .5, 1)\"},{\"offset\":0.85,\"transform\":\"translate3d(0, -26.197606047%, 0)\",\"easing\":\"cubic-bezier(.5, 0, 1, 1)\"},{\"offset\":0.92,\"transform\":\"translate3d(0, 0%, 0)\",\"easing\":\"cubic-bezier(0, 0, .5, 1)\"},{\"offset\":0.96,\"transform\":\"translate3d(0, -11.383917948%, 0)\",\"easing\":\"cubic-bezier(.5, 0, 1, 1)\"},{\"offset\":1,\"transform\":\"translate3d(0, 0%, 0)\",\"easing\":\"cubic-bezier(0, 0, .5, 1)\"}],\"delay\":0,\"duration\":600,\"fill\":\"both\"}]<\/script><\/amp-story-animation><amp-story-grid-layer template=\"vertical\" aspect-ratio=\"412:618\" class=\"grid-layer\"><\/p>\n<div class=\"page-fullbleed-area\" style=\"background-color:#352420\">\n<div class=\"page-safe-area\">\n<div style=\"position:absolute;pointer-events:none;left:0;top:-9.25926%;width:100%;height:118.51852%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0\" class=\"mask\" id=\"el-11cb52e8-189c-41bb-a030-bde34b6c81d0\">\n<div style=\"position:absolute;width:100%;height:100%;left:0%;top:0%\" data-leaf-element=\"true\"><amp-img layout=\"fill\" src=\"https:\/\/blogcdn.aakash.ac.in\/wordpress_media\/2026\/02\/CBSE-Class-12-Chemistry-Paper-2026-Must-Know-Named-Reactions-3.png\" alt=\"\" srcSet=\"https:\/\/blogcdn.aakash.ac.in\/wordpress_media\/2026\/02\/CBSE-Class-12-Chemistry-Paper-2026-Must-Know-Named-Reactions-3.png 1080w,https:\/\/blogcdn.aakash.ac.in\/wordpress_media\/2026\/02\/CBSE-Class-12-Chemistry-Paper-2026-Must-Know-Named-Reactions-3-864x1536.png 864w,https:\/\/blogcdn.aakash.ac.in\/wordpress_media\/2026\/02\/CBSE-Class-12-Chemistry-Paper-2026-Must-Know-Named-Reactions-3-768x1365.png 768w,https:\/\/blogcdn.aakash.ac.in\/wordpress_media\/2026\/02\/CBSE-Class-12-Chemistry-Paper-2026-Must-Know-Named-Reactions-3-750x1333.png 750w,https:\/\/blogcdn.aakash.ac.in\/wordpress_media\/2026\/02\/CBSE-Class-12-Chemistry-Paper-2026-Must-Know-Named-Reactions-3-576x1024.png 576w,https:\/\/blogcdn.aakash.ac.in\/wordpress_media\/2026\/02\/CBSE-Class-12-Chemistry-Paper-2026-Must-Know-Named-Reactions-3-169x300.png 169w,https:\/\/blogcdn.aakash.ac.in\/wordpress_media\/2026\/02\/CBSE-Class-12-Chemistry-Paper-2026-Must-Know-Named-Reactions-3-150x267.png 150w\" sizes=\"(min-width: 1024px) 45vh, 100vw\" disable-inline-width=\"true\"><\/amp-img><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p><\/amp-story-grid-layer><amp-story-grid-layer template=\"vertical\" aspect-ratio=\"412:618\" class=\"grid-layer\"><\/p>\n<div class=\"page-fullbleed-area\">\n<div class=\"page-safe-area\">\n<div style=\"position:absolute;pointer-events:none;left:11.65049%;top:3.72168%;width:83.73786%;height:4.85437%;opacity:1\">\n<div id=\"anim-0bc1e21e-877b-4daa-8a80-7d537ac6c702\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:1;--initial-transform:translate3d(0, -824.07398%, 0)\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:0.5797101449275363% 0.5797101449275363% 0.5797101449275363% 0.5797101449275363% \/ 6.666666666666667% 6.666666666666667% 6.666666666666667% 6.666666666666667%\" id=\"el-0878bdf0-7b38-463d-ae58-1933154b3589\">\n<p class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:0.8851336050724637% 0;font-family:&quot;Anton&quot;,sans-serif;font-size:0.323625em;line-height:1.2;text-align:left;padding:0;color:#000000\"><span><span style=\"color: #edf6f6\">Three-Dimensional Geometry Formulas:<\/span><\/span><\/p>\n<\/div>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:3.39806%;top:16.34304%;width:100.48544%;height:33.65696%;opacity:1\">\n<div id=\"anim-5ed88664-f004-4987-a913-19f4726734d0\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:1;--initial-transform:translate3d(0, -204.43376%, 0)\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:0.4830917874396135% 0.4830917874396135% 0.4830917874396135% 0.4830917874396135% \/ 0.9615384615384616% 0.9615384615384616% 0.9615384615384616% 0.9615384615384616%\" id=\"el-35c14d3b-327e-4224-a0df-c28e65721322\">\n<h2 class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:0.544444444444444% 0;font-family:&quot;Alegreya&quot;,serif;font-size:0.453074em;line-height:1.2;text-align:left;padding:0;color:#000000\"><span><span style=\"font-weight: 700\">Concept Formula<\/span><br \/>\n<span style=\"font-weight: 700\">&nbsp;<\/span><br \/>\n<span style=\"font-weight: 700\">Plane equation = &nbsp;lx + my + nz = d<\/span><\/p>\n<p><span style=\"font-weight: 700\">Distance between two points = \u221a[(x\u2081\u2212x\u2082)\u00b2 + (y\u2081\u2212y\u2082)\u00b2 + (z\u2081\u2212z\u2082)\u00b2]<\/span><\/span><\/h2>\n<\/div>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:23.54369%;top:60.03236%;width:52.91262%;height:11.00324%;opacity:1\">\n<div id=\"anim-3ee48222-7aec-40dc-ab46-1eb587ab8ea2\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:1;--initial-transform:translate3d(0, -729.73833%, 0)\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:0.9174311926605505% 0.9174311926605505% 0.9174311926605505% 0.9174311926605505% \/ 2.941176470588235% 2.941176470588235% 2.941176470588235% 2.941176470588235%\" id=\"el-3cf13433-9c05-4b9d-b864-4151c7ca51dc\">\n<h1 class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:3.1517658758600917% 0;font-family:&quot;Anton&quot;,sans-serif;font-size:0.728155em;line-height:1.2;text-align:center;padding:0;color:#000000\"><span><span style=\"color: #0c3a96\">Also Check<\/span><\/span><\/h1>\n<\/div>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:33.25243%;top:78.31715%;width:33.25243%;height:11.65049%;transform:rotate(89deg);opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0\" id=\"el-fc1034ce-7b60-4c30-a0c0-9192b46957eb\"><svg style=\"display:block;position:absolute;top:0;height:100%;width:auto\" viewBox=\"0 0 19 10\" fill=\"none\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><title>Arrow<\/title><path d=\"M17.9472 5.38801C18.1615 5.17372 18.1615 4.82628 17.9472 4.61199L14.4552 1.11992C14.2409 0.905633 13.8934 0.905633 13.6791 1.11992C13.4649 1.33421 13.4649 1.68165 13.6791 1.89594L16.7832 5L13.6791 8.10406C13.4649 8.31835 13.4649 8.66579 13.6791 8.88008C13.8934 9.09437 14.2409 9.09437 14.4552 8.88008L17.9472 5.38801ZM0 5.54873H17.5592V4.45127H0V5.54873Z\" fill=\"#3A566E\"><\/path><\/svg><\/div>\n<\/div>\n<\/div>\n<\/div>\n<p><\/amp-story-grid-layer><amp-story-page-outlink layout=\"nodisplay\"><a href=\"https:\/\/www.aakash.ac.in\/blog\/important-maths-formulas-class-12-with-memory-tricks\/\" rel=\"\"> Imp formulas &#8211; its applications <\/a><\/amp-story-page-outlink><\/amp-story-page><amp-story-page id=\"1dcfe3c1-8e93-458c-bd37-a28ff38ab87d\" auto-advance-after=\"5s\"><amp-story-grid-layer template=\"vertical\" aspect-ratio=\"412:618\" class=\"grid-layer\"><\/p>\n<div class=\"page-fullbleed-area\" style=\"background-color:#ddc5b0\">\n<div class=\"page-safe-area\">\n<div style=\"position:absolute;pointer-events:none;left:0;top:-9.25926%;width:100%;height:118.51852%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0\" class=\"mask\" id=\"el-e2921477-f9da-45f5-8e35-88b436a833b9\">\n<div style=\"position:absolute;width:100%;height:100%;left:0%;top:0%\" data-leaf-element=\"true\"><amp-img layout=\"fill\" src=\"https:\/\/blogcdn.aakash.ac.in\/wordpress_media\/2026\/03\/CBSE-Class-12-Chemistry-Pper-2026-Must-Know-Named-Reactions-3.png\" alt=\"\" srcSet=\"https:\/\/blogcdn.aakash.ac.in\/wordpress_media\/2026\/03\/CBSE-Class-12-Chemistry-Pper-2026-Must-Know-Named-Reactions-3.png 1080w,https:\/\/blogcdn.aakash.ac.in\/wordpress_media\/2026\/03\/CBSE-Class-12-Chemistry-Pper-2026-Must-Know-Named-Reactions-3-864x1536.png 864w,https:\/\/blogcdn.aakash.ac.in\/wordpress_media\/2026\/03\/CBSE-Class-12-Chemistry-Pper-2026-Must-Know-Named-Reactions-3-768x1365.png 768w,https:\/\/blogcdn.aakash.ac.in\/wordpress_media\/2026\/03\/CBSE-Class-12-Chemistry-Pper-2026-Must-Know-Named-Reactions-3-750x1333.png 750w,https:\/\/blogcdn.aakash.ac.in\/wordpress_media\/2026\/03\/CBSE-Class-12-Chemistry-Pper-2026-Must-Know-Named-Reactions-3-576x1024.png 576w,https:\/\/blogcdn.aakash.ac.in\/wordpress_media\/2026\/03\/CBSE-Class-12-Chemistry-Pper-2026-Must-Know-Named-Reactions-3-169x300.png 169w,https:\/\/blogcdn.aakash.ac.in\/wordpress_media\/2026\/03\/CBSE-Class-12-Chemistry-Pper-2026-Must-Know-Named-Reactions-3-150x267.png 150w\" sizes=\"(min-width: 1024px) 45vh, 100vw\" disable-inline-width=\"true\"><\/amp-img><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p><\/amp-story-grid-layer><amp-story-grid-layer template=\"vertical\" aspect-ratio=\"412:618\" class=\"grid-layer\"><\/p>\n<div class=\"page-fullbleed-area\">\n<div class=\"page-safe-area\">\n<div style=\"position:absolute;pointer-events:none;left:-33.73786%;top:-7.60518%;width:118.20388%;height:9.70874%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:0.41067761806981523% 0.41067761806981523% 0.41067761806981523% 0.41067761806981523% \/ 3.3333333333333335% 3.3333333333333335% 3.3333333333333335% 3.3333333333333335%\" id=\"el-7c75bc4b-5d66-48a3-9329-87345b710280\">\n<h1 class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:1.2227384657340865% 0;font-family:&quot;Anton&quot;,sans-serif;font-size:0.631068em;line-height:1.2;text-align:center;padding:0;color:#000000\"><span><span style=\"color: #b82121\">Must-Know<\/span><\/span><\/h1>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:-8.98058%;top:0;width:118.20388%;height:8.57605%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:0.41067761806981523% 0.41067761806981523% 0.41067761806981523% 0.41067761806981523% \/ 3.7735849056603774% 3.7735849056603774% 3.7735849056603774% 3.7735849056603774%\" id=\"el-db10d8e2-909f-4b09-89f7-55d0314f586d\">\n<h2 class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:0.6446611909650927% 0;font-family:&quot;Alegreya&quot;,serif;font-size:0.631068em;line-height:1.2;text-align:center;padding:0;color:#000000\"><span><span style=\"font-weight: 700\">Algebraic &amp; Numerical&nbsp;<\/span><\/span><\/h2>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:5.33981%;top:97.24919%;width:88.59223%;height:6.31068%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:0.547945205479452% 0.547945205479452% 0.547945205479452% 0.547945205479452% \/ 5.128205128205128% 5.128205128205128% 5.128205128205128% 5.128205128205128%\" id=\"el-da10fd95-ec9a-4d0a-8bc8-b317dfc9aaf9\">\n<h2 class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:0.6175342465753418% 0;font-family:&quot;Alegreya&quot;,serif;font-size:0.453074em;line-height:1.2;text-align:center;padding:0;color:#000000\"><span><span style=\"font-weight: 700\">Important Formulas at 1 Place<\/span><\/span><\/h2>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:-24.27184%;top:6.95793%;width:118.20388%;height:7.60518%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:0.41067761806981523% 0.41067761806981523% 0.41067761806981523% 0.41067761806981523% \/ 4.25531914893617% 4.25531914893617% 4.25531914893617% 4.25531914893617%\" id=\"el-8c5f8b34-b064-45d7-888f-554cfb02bb3d\">\n<h2 class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:0.07607802874743395% 0;font-family:&quot;Montserrat&quot;,sans-serif;font-size:0.631068em;line-height:1.2;text-align:center;padding:0;color:#000000\"><span><span style=\"font-weight: 700; color: #0c3a96\">Formulas for<\/span><\/span><\/h2>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:8.73786%;top:17.1521%;width:33.25243%;height:14.23948%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:1.4598540145985401% 1.4598540145985401% 1.4598540145985401% 1.4598540145985401% \/ 2.272727272727273% 2.272727272727273% 2.272727272727273% 2.272727272727273%\" id=\"el-9f24e547-9a27-41b1-b276-0bf8fc5e4177\">\n<h2 class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:1.9978102189781035% 0;font-family:&quot;Alegreya&quot;,serif;font-size:0.550162em;line-height:1.2;text-align:center;padding:0;color:#000000\"><span><span style=\"font-weight: 700; color: #edf6f6\">CBSE Class 12<\/span><\/span><\/h2>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:61.65049%;top:17.1521%;width:38.34951%;height:7.44337%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:1.2658227848101267% 1.2658227848101267% 1.2658227848101267% 1.2658227848101267% \/ 4.3478260869565215% 4.3478260869565215% 4.3478260869565215% 4.3478260869565215%\" id=\"el-846d4d2a-1ff7-449d-aa1f-b1e8db18e02e\">\n<h2 class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:1.7322784810126595% 0;font-family:&quot;Alegreya&quot;,serif;font-size:0.550162em;line-height:1.2;text-align:center;padding:0;color:#000000\"><span><span style=\"font-weight: 700; color: #590d22\">Weightage<\/span><\/span><\/h2>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:5.33981%;top:48.38188%;width:40.29126%;height:11.48867%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:1.2048192771084338% 1.2048192771084338% 1.2048192771084338% 1.2048192771084338% \/ 2.8169014084507045% 2.8169014084507045% 2.8169014084507045% 2.8169014084507045%\" id=\"el-8f5418f7-b3ab-4fa4-a7b5-36691968fd46\">\n<h2 class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:2.521686746987954% 0;font-family:&quot;Alegreya&quot;,serif;font-size:0.841424em;line-height:1.2;text-align:center;padding:0;color:#000000\"><span><span style=\"font-weight: 700; color: #0044c9\">Maths<\/span><\/span><\/h2>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:28.15534%;top:73.6246%;width:43.93204%;height:19.09385%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0\" class=\"mask\" id=\"el-fe7da17d-d6a4-427a-9db0-d7447f34c71c\">\n<div style=\"position:absolute;width:100%;height:107.37289%;left:0%;top:-3.68645%\" data-leaf-element=\"true\"><amp-img layout=\"fill\" src=\"https:\/\/blogcdn.aakash.ac.in\/wordpress_media\/2026\/02\/aakash-logo.png\" alt=\"aakash logo\" srcSet=\"https:\/\/blogcdn.aakash.ac.in\/wordpress_media\/2026\/02\/aakash-logo.png 600w,https:\/\/blogcdn.aakash.ac.in\/wordpress_media\/2026\/02\/aakash-logo-300x210.png 300w,https:\/\/blogcdn.aakash.ac.in\/wordpress_media\/2026\/02\/aakash-logo-150x105.png 150w\" sizes=\"(min-width: 1024px) 20vh, 44vw\" disable-inline-width=\"true\"><\/amp-img><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p><\/amp-story-grid-layer><amp-story-page-outlink layout=\"nodisplay\"><a href=\"https:\/\/www.aakash.ac.in\/blog\/must-know-algebraic-numerical-formulas-for-cbse-class-12-maths\/\" rel=\"\">Check All Important Formulas <\/a><\/amp-story-page-outlink><\/amp-story-page><amp-story-page id=\"043c2924-c34e-455c-9cfa-f5b6f0f92121\" auto-advance-after=\"5s\"><amp-story-animation layout=\"nodisplay\" trigger=\"visibility\"><script type=\"application\/json\">[{\"selector\":\"#anim-b6694044-2238-4341-a344-216b616e9ce6\",\"keyframes\":{\"opacity\":[0,1]},\"delay\":0,\"duration\":2000,\"easing\":\"cubic-bezier(.3,0,.55,1)\",\"fill\":\"both\"}]<\/script><\/amp-story-animation><amp-story-animation layout=\"nodisplay\" trigger=\"visibility\"><script type=\"application\/json\">[{\"selector\":\"#anim-1da8e4b3-7982-4e58-9f87-7926fe86d69b\",\"keyframes\":{\"transform\":[\"scale(0.3333333333333333)\",\"scale(1)\"]},\"delay\":0,\"duration\":2000,\"easing\":\"cubic-bezier(.3,0,.55,1)\",\"fill\":\"forwards\"}]<\/script><\/amp-story-animation><amp-story-grid-layer template=\"vertical\" aspect-ratio=\"412:618\" class=\"grid-layer\"><\/p>\n<div class=\"page-fullbleed-area\" style=\"background-color:#fff\">\n<div class=\"page-safe-area\">\n<div style=\"position:absolute;pointer-events:none;left:0;top:-9.25926%;width:100%;height:118.51852%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0\" class=\"mask\" id=\"el-224ad6d4-bcfe-4214-97b8-caef3468aa41\">\n<div class=\"fill\" style=\"will-change:transform\"><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p><\/amp-story-grid-layer><amp-story-grid-layer template=\"vertical\" aspect-ratio=\"412:618\" class=\"grid-layer\"><\/p>\n<div class=\"page-fullbleed-area\">\n<div class=\"page-safe-area\">\n<div style=\"position:absolute;pointer-events:none;left:0.72816%;top:43.68932%;width:99.27184%;height:47.411%;opacity:1\">\n<div id=\"anim-b6694044-2238-4341-a344-216b616e9ce6\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:0;--initial-transform:none\">\n<div id=\"anim-1da8e4b3-7982-4e58-9f87-7926fe86d69b\" class=\"animation-wrapper\" style=\"width:100%;height:100%;display:block;position:absolute;top:0;left:0;--initial-opacity:1;--initial-transform:scale(0.3333333333333333)\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:0.4889975550122249% 0.4889975550122249% 0.4889975550122249% 0.4889975550122249% \/ 0.6825938566552902% 0.6825938566552902% 0.6825938566552902% 0.6825938566552902%\" id=\"el-ef022101-bd0f-470e-b7de-8c38692c4810\">\n<h1 class=\"fill text-wrapper\" style=\"white-space:pre-line;overflow-wrap:break-word;word-break:break-word;margin:1.1612469437652806% 0;font-family:&quot;Alegreya&quot;,serif;font-size:0.954693em;line-height:1.2;text-align:center;padding:0;color:#000000\"><span><span style=\"font-weight: 700\">CBSE Class 12 Board Exam Aswer key And Solutions<\/span><\/span><\/h1>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:-0.97087%;top:-3.39806%;width:100.97087%;height:44.17476%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0\" class=\"mask\" id=\"el-3e091249-eecc-43b5-a99d-9de98e43d369\">\n<div style=\"position:absolute;width:100%;height:106.66666%;left:0%;top:-3.33333%\" data-leaf-element=\"true\"><amp-img layout=\"fill\" src=\"https:\/\/blogcdn.aakash.ac.in\/wordpress_media\/2026\/03\/CBSE-Class-12-All-Subjects-Answer-Key-2026-OUT-\u2013-Free-PDF-All-Sets.png\" alt=\"CBSE Class 12 All Subjects Answer Key 2026 OUT \u2013 Free PDF (All Sets)\" srcSet=\"https:\/\/blogcdn.aakash.ac.in\/wordpress_media\/2026\/03\/CBSE-Class-12-All-Subjects-Answer-Key-2026-OUT-%E2%80%93-Free-PDF-All-Sets.png 600w,https:\/\/blogcdn.aakash.ac.in\/wordpress_media\/2026\/03\/CBSE-Class-12-All-Subjects-Answer-Key-2026-OUT-%E2%80%93-Free-PDF-All-Sets-300x210.png 300w,https:\/\/blogcdn.aakash.ac.in\/wordpress_media\/2026\/03\/CBSE-Class-12-All-Subjects-Answer-Key-2026-OUT-%E2%80%93-Free-PDF-All-Sets-150x105.png 150w\" sizes=\"(min-width: 1024px) 45vh, 101vw\" disable-inline-width=\"true\"><\/amp-img><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p><\/amp-story-grid-layer><amp-story-page-outlink layout=\"nodisplay\"><a href=\"https:\/\/www.aakash.ac.in\/class-12-cbse-board-answers-solutions\" rel=\"\">Download Now<\/a><\/amp-story-page-outlink><\/amp-story-page><\/amp-story><\/body><\/html><\/p>\n","protected":false},"excerpt":{"rendered":"<p>CBSE class 12 math question paper guide with chapter-wise maths formulas, class 12 maths formula sheet, and key concepts for quick revision.<\/p>\n","protected":false},"author":63,"featured_media":297581,"template":"","meta":{"web_stories_publisher_logo":224678,"web_stories_poster":[],"web_stories_products":[],"footnotes":""},"web_story_category":[],"web_story_tag":[],"class_list":["post-297568","web-story","type-web-story","status-publish","has-post-thumbnail","hentry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.0 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Important Class 12 Maths Formulas: List with Memory Tricks - Aakash Blog<\/title>\n<meta name=\"description\" content=\"CBSE class 12 math question paper guide with chapter-wise maths formulas, class 12 maths formula sheet, and key concepts for quick revision.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.aakash.ac.in\/blog\/web-stories\/important-maths-formulas-class-12-with-memory-tricks\/\" 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style=\"font-weight: 700; color: #b82121\">Class 12 Maths<\/span>\n<span style=\"font-weight: 700\">&nbsp;All Formulas Chapter Wise<\/span>","x":8,"y":-45,"width":397,"borderRadius":{"locked":true,"topLeft":2,"topRight":2,"bottomRight":2,"bottomLeft":2},"type":"text","height":150,"id":"b3ffc295-098b-446e-915c-38854169d2f3","marginOffset":-6.601000000000006},{"opacity":100,"flip":{"vertical":false,"horizontal":false},"rotationAngle":0,"lockAspectRatio":true,"backgroundTextMode":"NONE","font":{"family":"Anton"},"fontSize":32,"backgroundColor":{"color":{"r":196,"g":196,"b":196}},"lineHeight":1.2,"textAlign":"left","padding":{"locked":true,"hasHiddenPadding":false,"horizontal":0,"vertical":0},"content":"<span style=\"color: #0044c9\">1. 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style=\"color: #edf6f6\">Three-Dimensional Geometry Formulas:<\/span>","x":48,"y":23,"width":345,"borderRadius":{"locked":true,"topLeft":2,"topRight":2,"bottomRight":2,"bottomLeft":2},"height":30,"id":"0878bdf0-7b38-463d-ae58-1933154b3589","marginOffset":-6.107421875,"type":"text"},{"opacity":100,"flip":{"vertical":false,"horizontal":false},"rotationAngle":0,"lockAspectRatio":true,"backgroundTextMode":"NONE","font":{"family":"Alegreya"},"fontSize":28,"backgroundColor":{"color":{"r":196,"g":196,"b":196}},"lineHeight":1.2,"textAlign":"left","padding":{"locked":true,"hasHiddenPadding":false,"horizontal":0,"vertical":0},"content":"<span style=\"font-weight: 700\">Concept Formula<\/span>\n<span style=\"font-weight: 700\">&nbsp;<\/span>\n<span style=\"font-weight: 700\">Plane equation = &nbsp;lx + my + nz = d<\/span>\n\n<span style=\"font-weight: 700\">Distance between two points = \u221a[(x\u2081\u2212x\u2082)\u00b2 + (y\u2081\u2212y\u2082)\u00b2 + 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