Class 12 Maths practice by chapter

Continuity and Differentiability

• Derivatives of polynomials and slope of a tangent
• Chain rule
• Continuity of piecewise functions

Integrals

• Definite integrals of polynomials
• Integration by substitution
• Integration by parts
• Properties of definite integrals

Determinants

• Evaluating 2×2 and 3×3 determinants
• Inverse of a 2×2 matrix
• Solving equations with matrices / Cramer's rule
• Adjoint and inverse of a 3×3 matrix

Matrices

• Matrix multiplication

Probability

• Conditional probability and Bayes' theorem
• Binomial distribution
• Independent events and the multiplication rule
• Mean and variance of a random variable
• Law of total probability

Application of Derivatives

• Increasing and decreasing intervals
• Local maxima and minima
• Rates of change
• Tangents and normals

Application of Integrals

• Area between two curves

Differential Equations

• Variable separable differential equations
• Linear first-order differential equations

Vector Algebra

• Dot product, angle and cross product
• Projection of one vector on another

Linear Programming

• Linear programming by corner points

Inverse Trigonometric Functions

• Principal values of inverse trigonometric functions

Three Dimensional Geometry

• Distance and direction cosines in 3D
• Angle between two lines in space

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