Important

Formulas:  List with Memory Tricks

Class 12 Maths 

Class 12 Maths  All Formulas Chapter Wise

1. Vector Algebra Formulas:

Position Vector — OP = √(x² + y² + z²) Vector Relation — PQ + QR = PR Commutative Law — A + B = B + A Associative Law — A + (B + C) = (A + B) + C Dot Product — A · B = |A| |B| cosθ Cross Product — A × B = |A| |B| sinθ Scalar Multiplication — k(A + B) = kA + kB Additive Identity — A + 0 = A

Trigonometry (Inverse) Formulas:

Negative Identity — sin⁻¹(−x) = −sin⁻¹x Cos Identity — cos⁻¹(−x) = π − cos⁻¹x Tan Identity — tan⁻¹(−x) = −tan⁻¹x Cot Identity — cot⁻¹(−x) = π − cot⁻¹x Sum Identity — sin⁻¹x + cos⁻¹x = π/2 Sum Identity — tan⁻¹x + cot⁻¹x = π/2

Calculus Formulas:

Basic Integration Formulas

Power Rule — ∫ xⁿ dx = xⁿ⁺¹ / (n+1) + C Exponential — ∫ eˣ dx = eˣ + C General Exponential — ∫ aˣ dx = aˣ / ln(a) + C Log Function — ∫ ln(x) dx = x ln(x) − x + C Reciprocal — ∫ (1/x) dx = ln|x| + C

Trigonometric Integration:

Rules of Integration:

Special Case

Probability Formulas:

This Class 12 maths chapter is short and scoring. Concept Formula Conditional probability P(A|B) = P(A ∩ B) / P(B) Multiplication theorem P(A ∩ B) = P(A) P(B|A)

Three-Dimensional Geometry Formulas:

Concept Formula   Plane equation =  lx + my + nz = d Distance between two points = √[(x₁−x₂)² + (y₁−y₂)² + (z₁−z₂)²]

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CBSE Class 12 Board Exam Aswer key And Solutions