CBSE 11 Math · Challenge
Challenge Practice
Advanced challenge questions for Class 11 Mathematics topics. These are enrichment problems after CBSE practice, not the core board-preparation sequence.
Test yourself
A focused, distraction-free run through 100 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 C11.1
Set Algebra and Power Sets
Advanced challenge extension from Inclusion-exclusion, complements, symmetric difference, and power-set counts with constraints..
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Topic C11.2
Relations and Equivalence Relations
Advanced challenge extension from Reflexive, symmetric, transitive, anti-symmetric, and equivalence-class reasoning..
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Topic C11.3
Functions: Domain, Range, and Injectivity
Advanced challenge extension from Function counts, range restrictions, one-one tests, and domain/range traps..
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Topic C11.4
Composition and Inverse Functions
Advanced challenge extension from Order of composition, rational inverse traps, finite bijections, and iterated functions..
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Topic C11.5
Mixed JEE Main Set-Function Reasoning
Advanced challenge extension from Parameter-free contest-style counts combining set partitions, relations, functions, and composition..
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Topic C11.6
Complex Algebra, Conjugates, and Modulus
Advanced challenge extension from Algebraic manipulation, conjugate traps, modulus conditions, and Cartesian form..
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Topic C11.7
Argand Plane, Argument, Polar Form, and Loci
Advanced challenge extension from Argument constraints, polar conversion, and geometric loci in the complex plane..
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Topic C11.8
Roots of Unity and De Moivre Powers
Advanced challenge extension from Cyclic powers, roots of unity, equations in complex roots, and symmetric sums..
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Topic C11.9
Quadratic Equations, Nature of Roots, and Parameters
Advanced challenge extension from Discriminant reasoning, parameter ranges, common roots, and integer-root constraints..
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Topic C11.10
Mixed Complex-Quadratic Reasoning
Advanced challenge extension from Complex roots of quadratics, transformed roots, conjugate pairs, and mixed Vieta problems..
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