Class 12th Mathematics Relations and Functions MCQ mock test quiz

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12th Math: Relations and Functions

1 / 10

1. Let the function f be defined by f(x)=(frac{9+3x}{7-2x}), then f^-1(x) is -----

(frac{9-3x}{7+2x})

(frac{7x-9}{2x+3})

(frac{2x-7}{3x+9})

(frac{2x-3}{7x+9})

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2 / 10

2. The following figure depicts which type of function? mathematics-questions-answers-types-functions-q6

injective

bijective

surjective

neither injective nor surjective

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3. 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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4 / 10

4. Let ‘*’ be a binary operation defined by a*b=3a^b+5. Find 8*3.

1547

1458

1448

1541

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5. 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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6 / 10

6. Let ‘*’ and ‘^’ be two binary operations such that a*b=a² b and a ^ b = 2a+b. Find (2*3) ^ (6*7).

256

286

276

275

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7 / 10

7. 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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8 / 10

8. 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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9 / 10

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

Reflexive

Surjective

Symmetric

Transitive

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10 / 10

10. 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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Class 12th Mathematics Relations and Functions MCQ mock test quiz

Chapter 01 Relations and Functions

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