Mathematics Revision Notes

Set Operations · Types of Functions · Composition

~1 questions/paper

Trigonometric Functions

Identities · Inverse Trig · Properties of Triangles

~3 questions/paper

Principle of Mathematical Induction

Induction Steps · Divisibility

Complex Numbers

Argand Plane · De Moivre Theorem · Roots of Unity

~2 questions/paper

Linear Inequalities

Solution of Inequalities · Graphical Method

Permutations and Combinations

nPr · nCr · Circular Permutations

~1 questions/paper

Binomial Theorem

General Term · Middle Term · Properties of Coefficients

~1 questions/paper

Sequences and Series

AP · GP · HP

~2 questions/paper

Straight Lines

Equations of Line · Distance · Angle Between Lines

~1 questions/paper

Conic Sections

Parabola · Ellipse · Hyperbola

~3 questions/paper

Introduction to 3D Geometry

Distance Formula · Section Formula

Limits and Derivatives

L'Hopital Rule · Sandwich Theorem · Differentiation Basics

~2 questions/paper

Mathematical Reasoning

Statements · Connectives · Tautology

Statistics

Variance · Standard Deviation · Mean Deviation

Probability

Classical Probability · Addition Theorem · Conditional Probability

~1 questions/paper

Class 12 — Mathematics(13 chapters)

Relations and Functions

Bijective Functions · Inverse Functions · Composition

~1 questions/paper

Inverse Trigonometric Functions

Range and Domain · Properties · Simplification

~1 questions/paper

Matrices

Types · Operations · Transpose

~1 questions/paper

Determinants

Expansion · Properties · Cramer's Rule

~2 questions/paper

Continuity and Differentiability

Differentiability · Chain Rule · Logarithmic Differentiation

~2 questions/paper

Applications of Derivatives

Maxima/Minima · Rate of Change · Mean Value Theorem

~3 questions/paper

Integrals

Integration by Parts · Substitution · Partial Fractions

~4 questions/paper

Applications of Integrals

Area Between Curves · Area Under Curve

~1 questions/paper

Differential Equations

Variable Separable · Linear DE · Homogeneous DE

~2 questions/paper

Vector Algebra

Dot Product · Cross Product · Triple Product

~2 questions/paper

3D Geometry

Lines in 3D · Planes · Angle Between Planes

~2 questions/paper

Linear Programming

Graphical Method · Corner Point Method

~1 questions/paper

Probability