Class 12th Mathematics Relations and Functions MCQ mock test quiz

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12th Math: Relations and Functions

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

Transitive

Commutative

Associative

Distributive

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2. Which of the following relations is symmetric but neither reflexive nor transitive for a set A = {1, 2, 3}.

R = {(1, 2), (1, 3), (1, 4)}

R = {(1, 2), (2, 1)}

R = {(1, 1), (2, 2), (3, 3)}

R = {(1, 1), (1, 2), (2, 3)}

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3. If f:R→R, g(x)=3x²+7 and f(x)=vx, then g?f(x) is equal to -----

3x-7

3x-9

3x+7

3x-8

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4. Let a binary operation ‘*’ be defined on a set A. The operation will be commutative if -----

a*b=b*a

(a*b)*c=a*(b*c)

(b ? c)*a=(b*a) ? (c*a)

a*b=a

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

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6. Let M={5,6,7,8} and N={3,4,9,10}. Which one of the following functions is neither one-one nor onto?

f={(5,3),(5,4),(6,4),(8,9)}

f={(5,3),(6,4),(7,9),(8,10)}

f={(5,4),(5,9),(6,3),(7,10),(8,10)}

f={(6,4),(7,3),(7,9),(8,10)}

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7. If f:R→R f(x)=cos?x and g(x)=7x³+6, then f?g(x) is -----

cos?(7x3+6)

cos?x

cos?(x3)

(cos(frac{x^3+6}{7}))

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

Reflexive

Surjective

Symmetric

Transitive

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9. A function f:R→R is defined by f(x)=5x³-8. The type of function is -----

one -one

onto

many-one

both one-one and onto

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10. If f:R→R is given by f(x)=(5+x⁴)^1/4, then f?f(x) is -----

10+x4

5+x4

(10+x4)1/4

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Class 12th Mathematics Relations and Functions MCQ mock test quiz

Chapter 01 Relations and Functions

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