Class 12th Mathematics Relations and Functions MCQ mock test quiz

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12th Math: Relations and Functions

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1. A function is invertible if it is -----

surjective

bijective

injective

neither surjective nor injective

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2. Let ‘*’ be defined on the set N. Which of the following are both commutative and associative?

a*b=a+b

a*b=a-b

a*b=ab2

a*b=ab

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3. Which of these is not a type of relation?

Reflexive

Surjective

Symmetric

Transitive

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4. Let ‘&’ be a binary operation defined on the set N. Which of the following definitions is commutative but not associative?

a & b=a-b

a & b=a+b

a & b=ab – 8

a & b=ab

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5. If f: ℝ+ → ℝ+, g: ℝ+ → ℝ+, and h: ℝ+ → ℝ are defined as follows:

f(x) = 3x⁻¹
g(y) = 6y²
h(z) = tan(πz/2)

Find ho(gof(x)).

fgho²(x)

3⁻¹g(6x⁻¹)²h(3⁻¹x)

6(3⁻¹x)²h(π(3⁻¹x)/2)

18x⁻²h(πx/2)

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6. Which of the following is not a type of binary operation?

Transitive

Commutative

Associative

Distributive

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7. Let A={1,2,3} and B={4,5,6}. Which one of the following functions is bijective?

f={(2,4),(2,5),(2,6)}

f={(1,5),(2,4),(3,4)}

f={(1,4),(1,5),(1,6)}

f={(1,4),(2,5),(3,6)}

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8. Let ‘*’ be a binary operation on N defined by a*b=a-b+ab², then find 4*5.

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9. Let f:R₊→[9,8) given by f(x)=x²+9. Find the inverse of f.

(sqrt{x-9})

(sqrt{9-x})

$sqrt{x^2-9}$

x2+9

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10. (a₁, a₂) ∈R implies that (a₂, a₁) ∈ R, for all a₁, a₂∈A. This condition is for which of the following relations?

Equivalence relation

Reflexive relation

Symmetric relation

Universal relation

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Class 12th Mathematics Relations and Functions MCQ mock test quiz

Chapter 01 Relations and Functions

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