“Coordinate geometry is another name for analysing different geometrical shapes.”
Coordinate geometry is a high-scoring chapter for students taking the IIT JEE Main 2022. The chapter’s concepts make it simple for students to achieve high grades in this chapter. The chapter covers a wide range of geometrical shapes and their formulas and derivatives. As a result, students adhere to a standard preparation schedule and quick and simple review notes.
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| Point to Note
Coordinate Geometry is one of the most intriguing chapters in the JEE Main 2022 Syllabus – Get Physics, Chemistry & Maths Syllabus | AESL. The chapter holds maximum weightage, around 20 per cent in the JEE Main 2022 Maths JEE Main 2022 Maths Syllabus syllabus. It increases applicants’ chances of a good rank in the JEE Main 2022 exam.
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Coordinate Geometry: IIT JEE Main 2022 Important Topic
Coordinate geometry is a broad topic to cover. It is subdivided into sections such as parabola, ellipse, and hyperbola. Students must properly revise the formulas of this section, as it can help them determine instant answers.
The only key for students to master coordinate geometry is to explore beyond the CBSE curriculum. The JEE Main 2022 applicants must comprehensively study this chapter’s important topics from NCERT textbooks NCERT Solutions for Class 12 Maths before following other reference books.
| 2D Geometry |
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| Straight Lines | Concepts of Straight-Line |
| Conic Section |
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Students must use these coordinate geometry revision notes for the JEE Main 2022 exam preparation.
Distance Formula
The distance ‘d’ between any two locations on the coordinate axis, A (x1,y1) and B (x2,y2), is determined by NCERT Solutions for Class 12 Maths.
d = (x2 – x1)2 +(y2 – y1)2
- Distance between Two Points on a Line
Assume a line ax+by+c=0 and a point P(x1,y1). Then the distance ‘d’ between point P and the line will be determined by maths concepts – Learn Important Mathematics Concepts
- Distance between Two Parallel Lines
Assume there are two lines, line 1 ax+by+c=0 and line 2 ax+by+c’=0. Then the ‘d’ distance NCERT Solutions for Class 11 Maths between both the lines will be determined by:
Section Formula
The coordinates of point D when it is divided by line AB in the ratio m: n will be determined by:
Area of Triangle
There are numerous formulas for calculating the area of a triangle. The formula Maths Concepts – Learn Mathematics topics to use is determined by the information provided in the statement.
Case I: When height ‘h’ and base ‘b’ of the triangle is given. Then Area ‘A’ will be determined by:
Case II: If point coordinates are provided. Assume A(x1, y1), B(x2, y2), and C. (x3,y3 ). Then there’s Area ‘A’ will be determined by:
Equation of Straight Line
Case 1: Point-Slope Form
Assume ‘m’ is the slope of the line. Now let the line pass through point A. (x1,y1). Then the equation of the line NCERT Solutions for Class 12 Maths will be determined by:
Case 2: Point-Point Form
Allow a line to pass across positions A(x1,y1) and B. (x2,y2). Then the line equation will be determined by:
Case 3: Slope-Intercept Form
Assume the slope of the line be ‘m,’ and the intercept on the y-axis be ‘c.’ Then the line equation will be determined by Maths Concepts – Learn Mathematics topics.
Case 4: Intercept Form
Allow the line to have intercepts’ a’ and ‘b’ on the x- and y-axes, respectively. Then the line equation will be determined by:
Case 5: Standard Form
Assume the line’s distance from the origin is ‘p’ and the angle it makes with the origin will be determined by:
Concurrency of Lines
If two lines are not parallel, they are concurrent Maths Concepts – Learn Mathematics topics. There are three lines:
Line 1: a1x+b1y+c1=0
Line 2: a2x+b2y+c2=0
Line 3: a3x+b3y+c3=0
All three lines are concurrent if,
Collinearity of Points
Points A(x1,y1), B(x2,y2), and C(x3,y3) are collinear only if,
Angle formed by Two Lines
Let us assume m1 and m2 to be the slopes of two lines. The angle formed by two lines will be determined by:
The point’s position in relation to the line:
- Position of points A(x1,y1) and B(x2,y2) with respect to the line ax + by+c=0.
- If both ax1+by1+c1=0 and ax2+by2+c2=0 have the same signs, then points A and B will lie on the same line; otherwise, they will lie on the opposite side of the line.
Locus of Point
When a point shifts from its location to satisfy a specific requirement or criteria, its path is referred to as its Locus Maths Concepts – Learn Mathematics topics.
- The use of coordinates JEE Main 2022 Maths Syllabus to represent the locus of a point in two-dimensional space:
- To calculate the coordinates of a point D in two-dimensional space for the origin. The OXY axes are an ordered pair of real integers expressed as (x, y). The coordinates are the distances from the origin of the foot of the perpendiculars from the point P on the respective cartesian coordinates.
- The origin coordinates are (0,0).
- Equation of a curve/ region:
- The equation of curve/region depicts the relationship seen between coordinates of every point on the curve/region, which holds for no other points beyond those on the curve/region.
- The x-axis equation is y = 0; the y-axis equation is x = 0.
Conic Section: Recognition of Conics
| Δ1 | Δ2 | Conic |
| 0 | > 0
= 0 < 0 |
Real and distinct lines
Parallel lines Imaginary lines |
| ≠ 0 | = 0
< 0 > 0 > 0 and a + b = 0 < 0 and h = 0, a = b |
Parabola
Ellipse Hyperbola Rectangular hyperbola Circle |
Eccentricity
Assume P be any rotating point and S be the conic’s focus (fixed point). Now assume PM as the perpendicular distance of the point from the conic’s directrix (fixed line). The Maths Concepts – Learn Mathematics topics conic’s eccentricity ‘e’ is defined by
| Conic | Eccentricity |
| Ellipse | 0 < e < 1 |
| Parabola | e = 1 |
| Hyperbola | e > 1 |
| Circle | e ➡ 1 |
| Pair of straight line | e ➡ χ |
| Important Note: Students should note that the letter ‘e’ can not be negative. |
Summary
Students preparing for coordinate geometry must always understand that this topic plays a significant role in the JEE Main 2022 Maths examination JEE Main 2022 Maths Syllabus. This topic can significantly boost the rankings of the applicants attempting for the JEE Main 2022 examination. This topic accounts for approximately 20% – 25% of the overall points, and nearly 50% of the total questions JEE Main 2022 Maths Syllabus are asked from straight lines and circles. Students will surely get an edge if they are well-versed in this part. Having a good grasp on this topic will assist students in tackling certain difficult problems from earlier chapters graphically.
FAQs about Preparing for JEE Main 2022
1. What guidelines should I follow for studying coordinate geometry?
There are fewer chances of students making a mistake in coordinate geometry. But sometimes, lack of clarity in concepts or less time spent preparing the topic results in the wrong calculation of answers.
Students must understand that coordinate geometry is a high-scoring topic in JEE Main 2022 Maths JEE Main 2022 - Dates, Application, Admit Card, Syllabus, Eligibility Criteria & Preparation Tips exam. Effective learning of this topic can help them rank higher in the JEE Main 2022 exams. The following are some of the key pointers that students should keep in mind while preparing for this section:
Coordinate geometry is based on diagrams and graphical representations. Practising the topics with the help of figures can help in the effective preparation of the topic.
Preparing a separate notebook can be helpful for students. In a notebook, students can note down important key formulas they come across while learning.
Try to memorise as many formulas as possible for effective question-solving speed.
Half-read question is as good as reading nothing. Students need to read the questions before going for the answer carefully.
NCERT textbook NCERT Solutions for Class 12 Maths - PDFs Updated For 2021-22 Exam | AESL is the best learning material for students preparing for JEE Main 2022 examinations. Students using various reference books are confused. Therefore it is advised to stick with one particular book at a time.
2. Is coordinate geometry a simple chapter for JEE Main 2022?
For students who always look for loopholes for getting higher marks in their JEE Main 2022 examinations JEE Main 2022 Maths Syllabus, then this chapter is totally for them. Coordinate geometry is one of the most crucial topics in the JEE Main 2022 and JEE Advanced 2022 Maths syllabuses. For students looking for high-scoring topics in JEE Main 2022 Maths, then this is perfect for them.
Coordinate geometry can be used in various other topics of Mathematics, including trigonometry, calculus, dimensional geometry, and statistics and physics.
Coordinate geometry is a significant component of the JEE Main 2022 Maths examination. It has the potential to boost the ranking of the applicants significantly.
In the JEE Main Maths examination, 20% - 25% of the overall marks belong to this topic every year. Almost half of the questions asked in this section are from topics in straight lines and circles.
3. Is the NCERT textbook sufficient for JEE Main 2022 coordinate geometry?
The NCERT textbook NCERT Maths Solutions for Class 11 covers coordinate geometry in greater depth, ensuring that students comprehend and score well in their JEE Main 2022 Maths exam. Toppers and experts highly recommend the NCERT textbooks for JEE Main 2022 preparation. According to experts, studying from the NCERT textbooks is sufficient to pass the JEE Main 2022 exams. Students choose NCERT textbooks for preparation since they cover all of the topics covered in the approved syllabus of JEE Main 2022. The JEE Main 2022 Maths syllabus is based on CBSE class 11 and 12 NCERT textbooks NCERT Maths Solutions for Class 12, thus making them the best reference material for JEE Main 2022 applicants. Also, students are familiar with NCERT textbooks, making their preparation much simpler and easier.
4. How much weightage does coordinate geometry holds in JEE Main 2022?
The topic of coordinate geometry holds a high weightage in the JEE Main 2022 Maths Syllabus syllabus. There is a high probability of 5-7 questions being asked from this unit, making a rough weightage of 20-25 % of the total score. The section focuses on geometrical shapes such as circles, parabolas, hyperbolas, etc. Questions are mainly based on applying formulas, making it extremely easy for students to score high marks in this unit. Students should pay special attention to circles, parabolas, ellipse, straight lines, and hyperbolas. Straight lines and circles are mostly asked topics in this particular section.
5. Which reference books should I use to study coordinate geometry for the IIT JEE Main 2022 Maths exam?
For coordinate geometry preparation, students should read the books listed below. These reference books will explain topics selected for inclusion in the JEE Main 2022 Maths syllabus. Students should constantly remember to choose appropriate books for their needs and requirements.
NCERT textbooks for classes 11 and 12
- Coordinate Geometry by SL Loney
- Coordinate Geometry by Arihant
- Tata Mcgraw Hill for IIT – JEE
