Case study type questions class 12 Mathematics

Main Topics Covered

Relations and Functions

Voting and election-based relations

Ludo game and functions

Boys-girls selection problems

Properties of relations (reflexive, symmetric, transitive)

Injective, surjective, bijective functions

Inverse Trigonometric Functions

Temple height and angles of elevation

Hoarding-board placement problems

Domain and range of inverse trigonometric functions

Matrices

Sales and profit calculations using matrices

Matrix operations (addition, transpose, multiplication)

School fundraising problems

Solving simultaneous equations using matrices

Determinants

Land area and dimension problems

Solving linear equations using determinants

Continuity and Differentiability

Plant growth models

Profit maximization problems

Absolute value functions

Increasing/decreasing functions

Tangents and normals

Applications of Integrals

Bridge and parabola-based area problems

Definite integrals

Area under curves

Differential Equations

Newton's Law of Cooling

Polio vaccination growth model

Variable separable differential equations

Vector Algebra

Solar panel installation

Dot product and cross product

Area of parallelograms

Vector identities

Three-Dimensional Geometry

Planes and lines

Distance calculations

Missile motion problems

Coast guard and helicopter scenarios

Structure of the Document

Each chapter contains multiple real-life case studies.

Every case study has 5 MCQs.

Answer keys are provided after each case study.

Many questions use practical situations such as:

Elections

Sports

Farming

Business sales

Bridges

Solar panels

Military and coast guard applications

Size

Approximately 46 pages long. �

MathematicsXII.pdf

Best Use

This document is useful for:

CBSE Class 12 Mathematics board exam preparation

Competency-based and case-study questions

MCQ practice

Revision of important Class XII Mathematics chapters