Class 12 Maths Important Questions

Below is a carefully selected chapter‑wise list based on CBSE trends, NCERT exercises, and previous year papers.

1. Relations and Functions

Important Topics & Questions:

• Definition of relations and functions

• Domain, range, and codomain

• One‑one and onto functions

• Inverse of a function

This chapter is theory‑oriented and helps in scoring easy marks.

2. Inverse Trigonometric Functions

Most Asked Questions:

• Principal value evaluation

• Identity‑based problems

• Solving equations involving inverse trigonometric functions

Students should focus on NCERT examples and identities.

3. Matrices

Important Questions:

• Types of matrices

• Matrix operations and properties

• Inverse of a matrix using adjoint method

• Solving linear equations using matrices

Matrices is a high‑scoring chapter if steps are written clearly.

4. Determinants

Frequently Asked:

• Evaluation of determinants (order 3)

• Properties of determinants

• Cramer’s Rule

• Area of triangle using determinants

This chapter often carries long‑answer questions.

5. Continuity and Differentiability

Important Areas:

• Continuity at a point

• Differentiation using first principles

• Chain rule and derivatives of standard functions

Concept clarity is very important in this chapter.

6. Applications of Derivatives

High‑Weightage Questions:

• Increasing and decreasing functions

• Maxima and minima problems

• Word problems based on optimization

This chapter almost always appears as a 5‑mark question.

7. Integrals

Important Topics:

• Indefinite integrals

• Integration by substitution

• Integration by parts

• Partial fractions

Regular practice is required to master integration.

8. Applications of Integrals

Most Important Questions:

• Area under curves

• Area between two curves

Graphs should be drawn neatly to score full marks.

9. Differential Equations

Key Questions:

• Formation of differential equations

• Solving differential equations using standard methods

This chapter is short and easy to revise.

10. Vector Algebra

Important Topics:

• Vector operations

• Dot and cross product

• Applications of vectors

Vector Algebra is concept‑based and scoring.

11. Three‑Dimensional Geometry

Frequently Asked Questions:

• Equation of line in 3D

• Distance between skew lines

• Angle between two lines and planes

This chapter has one of the highest weightages.

12. Linear Programming

Important Areas:

• Formulation of LPP

• Graphical solution

• Feasible region

Linear Programming is simple and very scoring.

13. Probability

Most Asked Questions:

• Conditional probability

• Bayes’ theorem

• Independent events

Probability questions usually carry long marks.