CBSE 11 Math · U1
Sets and Functions
Sets, relations, functions, real-valued function graphs, and trigonometric functions from the CBSE Class 11 Mathematics syllabus.
Test yourself
A focused, distraction-free run through 45 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
Sets, Subsets, and Intervals
Set representation, empty sets, finite and infinite sets, equal sets, subsets, and intervals
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Topic 1.2
Set Operations, Complements, and Venn Diagrams
Union, intersection, difference, complement, and complement properties
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Topic 1.3
Cartesian Products and Relations
Ordered pairs, Cartesian products, relation diagrams, domain, codomain, and range
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Topic 1.4
Functions, Domains, Ranges, and Algebra
Function as a special relation, domain, codomain, range, and sum/product/quotient of functions
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Topic 1.5
Real-Valued Functions and Graphs
Constant, identity, polynomial, rational, modulus, signum, exponential, logarithmic, and greatest integer functions
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Topic 1.6
Trigonometric Functions and Identities
Angle measure, unit-circle definitions, signs, domains and ranges, and standard identities
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Topic 1.7
Graphs, Domains, and Ranges of Trigonometric Functions
Domain, range, period, and graph features of the six trigonometric functions
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Topic 1.8
Compound-Angle and Product-Sum Identities
Using sin(x±y), cos(x±y), tan(x±y), cot(x±y), and sum-to-product identities
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Topic 1.9
Double- and Triple-Angle Identities
Deducing and applying identities for sin 2x, cos 2x, tan 2x, sin 3x, cos 3x, and tan 3x
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