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JKBOSE Class 12th Mathematics Important Board Exam Questions

A chapter-wise overview of high-weightage, frequently asked questions for the Class 12 Class 12th Mathematics board exam. It covers critical concepts in Relations and Functions, Matrices, Continuity, Calculus, Vectors, 3D Geometry, Linear Programming, and Probability.

Class 12 Science
Class 12 Commerce
Maths
English
· 7 topics
Checked against the video on 20 Oct 2026

Made by AI from the YouTube video Your Maths Paper is Here 😱 | JKBOSE Class 12th Maths 🔥 | JKBOSE Wallah (opens YouTube in a new tab) by JKBOSE Wallah, then checked against it. All credit for the teaching goes to the creator. Tap a topic’s time to confirm a fact in the video.

JKBOSE Class 12th Mathematics Important Board Exam Questions

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A chapter-wise overview of high-weightage, frequently asked questions for the Class 12 Class 12th Mathematics board exam. It covers critical concepts in Relations and Functions, Matrices, Continuity, Calculus, Vectors, 3D Geometry, Linear Programming, and Probability.

Important Questions Overview

Must knowFocuses on chapter-wise high-probability questions for the Class 12 Mathematics board examination.
Emphasizes practicing textbook problems alongside previous year questions (PYQs).
Chapters covered include Relations and Functions, Inverse Trigonometric Functions, Matrices, Determinants, Calculus, Vectors, 3D Geometry, Linear Programming, and Probability.

Relations, Functions and Inverse Trigonometric Functions

Must knowStandard equivalence relation proof problems and checking injectivity/surjectivity of functions are critical exam topics.
Bijective function proofs, including Greatest Integer Function properties, carry significant marks.
Inverse Trigonometric Functions (ITF) questions commonly focus on evaluating principal values and simplifying complex expressions.

Matrices and Determinants

Must knowA matrix relation proof like A*(adj A) = (adj A)*A = |A|*I is a very frequent exam question.
Expressing a square matrix as the sum of a symmetric and a skew-symmetric matrix is highly important.
Solving a system of linear equations using the matrix method is a high-weightage long-answer question type.
Verification of (AB)⁻¹ = B⁻¹ × A⁻¹ using given matrices is frequently tested.

Continuity, Differentiability and Applications of Derivatives

Must knowFinding unknown constants (like k) for functions continuous at a given point is a guaranteed high-yield topic.
Chain rule derivatives, logarithmic differentiation, and differentiation of parametric functions are core problem types.
Applications of Derivatives (AOD) questions frequently cover rate of change, increasing/decreasing intervals, and finding maximum/minimum values on closed intervals.
Definitions of stationary points and critical points can be asked as 1-mark theory questions.

Integrals and Applications of Integrals

Definite integrals using King's Rule represent the most frequently tested property-based questions.
Integration by parts, integration of rational functions, and quadratic form integrals are key procedural problem types.
Finding the area of an ellipse region using Application of Integrals (AOI) is a standard high-weightage problem.

Differential Equations, Vectors and 3D Geometry

Must knowSolving homogeneous differential equations and linear differential equations (LDE) forms the core of Differential Equations questions.
Vector Algebra focuses on scalar/dot products, cross products, projections, and finding perpendicular vectors.
3D Geometry heavily emphasizes finding the angle between two lines and the shortest distance between skew or parallel lines.

Linear Programming and Probability

Linear Programming Problems (LPP) focus on graphical optimization (maximization/minimization) with 2 or 3 constraint inequalities.
Probability questions prominently feature Bayes' Theorem, Theorem on Total Probability, and conditional probability.
Must knowStudents should memorize and be able to state the exact definitions/statements of Bayes' Theorem and the Theorem on Total Probability.

Key terms

Matrix Method: A matrix-based technique used to solve systems of linear equations of the form AX = B.
Bayes' Theorem: A probability theorem used to calculate conditional probabilities of events based on prior knowledge of conditions.

Quick revision

A matrix equation relation for adjoint is A*(adj A) = (adj A)*A = |A|*I.
For invertible matrices A and B of the same order, (AB)⁻¹ = B⁻¹ × A⁻¹.
Finding unknown constant k in a continuous piecewise function requires equating left-hand limit, right-hand limit, and function value.
Definite integrals of symmetric or trigonometric forms heavily rely on applying King's Rule for simplification.
Linear Programming Problems require finding the feasible region bounded by constraint lines to identify corner points for Z optimization.
State statements of Bayes' Theorem and Total Probability Theorem directly from the textbook for 1-mark theory questions.

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