CBSE 12 Math · U1
Relations and Functions
Relations, equivalence relations, equivalence classes, one-one and onto functions, inverse functions, and inverse trigonometric functions from the CBSE Class 12 Mathematics syllabus.
Test yourself
A focused, distraction-free run through 30 multiple-choice questions. Hints if you need them; your score at the end.
Difficulty guide
The label describes the problem, not your ability.
1/5 - Foundational
Warm-up setup; checks one basic idea.
2/5 - Routine exam skill
Normal syllabus skill; usually one main rule or interpretation.
3/5 - Standard multi-step
Exam-style problem with multiple steps or a common trap.
4/5 - Hard exam skill
High-end exam problem; combines methods carefully.
5/5 - Challenge
Stretch problem beyond normal exam pressure.
Topic 1.1
Relations and Their Properties
CBSE-style checks of reflexive, symmetric, and transitive properties.
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Topic 1.2
Equivalence Classes and Partitions
Finding classes and partitions from a finite set or a modular rule.
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Topic 1.3
One-One and Onto Functions
Checking injective and surjective functions using formulas, finite mappings, and codomains.
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Topic 1.4
Domain, Range, and Bijective Functions
CBSE-style practice with domain, codomain, range, one-one, onto, and bijective functions.
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Topic 1.5
Inverse Trigonometric Functions
Principal values, domains, ranges, and graph reading for inverse trigonometric functions.
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Topic 1.6
Inverse Trigonometric Identities and Equations
Direct CBSE-style simplification and equation solving using inverse trigonometric identities.
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