How many MCQ questions are available for Relations and Functions?

There are 92 MCQ questions available for Relations and Functions (Class 11 Mathematics) — 33 easy, 35 medium, and 24 hard.

Relations and Functions

Q: What topics are covered in Relations and Functions?

Key concepts covered: Algebra of functions, Cartesian product, Cartesian product of R with itself, Codomain of a relation, Constant function, Domain and range of a function, Domain of a relation, Function definition, Greatest integer function, Identity function, Linear function, Modulus function, Number of elements in Cartesian product, Number of relations, Ordered pair.

Class 11 · Mathematics

92 questions33 easy35 medium24 hard

Sample Questions

Q1.The graph of the identity function y = x passes through:

AOnly the x-axis
BOnly the y-axis
CThe origin
DThe point (1, 0)

Q2.The range of f(x) = |x − 1| is:

AR
B(0, ∞)
C[0, ∞)
D[1, ∞)

Q3.If A × (B ∩ C) = (A × B) ∩ (A × C), this demonstrates that:

ACartesian product distributes over intersection
BCartesian product distributes over union
CIntersection distributes over Cartesian product
DThis identity is false in general

Q4.The range of f(x) = x/(1 + x²) for x ∈ R is a subset of:

A[0, ∞)
B[−1/2, 1/2]
C(−1, 1)
DR

Q5.If A = {1, 2, 3, 4, 6} and R = {(a, b) : a, b ∈ A, b is exactly divisible by a}, then R in roster form includes:

A(6, 3)
B(2, 6)
C(4, 3)
D(3, 2)

Q6.This is a sample question to preview what you'll get in the full practice test...

A. Option one
B. Option two
C. Option three
D. Option four

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Concepts Covered

Algebra of functionsCartesian productCartesian product of R with itselfCodomain of a relationConstant functionDomain and range of a functionDomain of a relationFunction definitionGreatest integer functionIdentity functionLinear functionModulus functionNumber of elements in Cartesian productNumber of relationsOrdered pairPolynomial functionRange of a relationRational functionReal valued functionRelationSignum function

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