11th Math Relations and Functions MCQ Chapter Quiz: Check knowledge with instant result

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11th Math: Relations and Functions

1 / 10

1. If f(x) = x³ – (1/x³), then f(x) + f(1/x) is equal to

2x³

2/x³

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2 / 10

2. The domain and range of the function f given by f(x) = 2 – |x −5| is

Domain = R+ , Range = ( – ∞, 1]

Domain = R, Range = (– ∞, 2)

Domain = R+ , Range = (– ∞, 2]

Domain = R, Range = ( – ∞, 2]

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3 / 10

3. The domain and range of the real function f defined by f(x) = (4 – x)/(x – 4) is given by

Domain = R, Range = {–1, 1}

Domain = R – {1}, Range = R

Domain = R – {– 4}, Range = {–1, 1}

Domain = R – {4}, Range = {– 1}

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4 / 10

4. What will be the domain for which the functions f(x) = 2x² – 1 and g(x) = 1 – 3x are equal?

{-2, 1}

[2,12]

{1/2, -2}

(-1, 2)

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5 / 10

5. If [x]² – 5 [x] + 6 = 0, where [ . ] denotes the greatest integer function, then

x ∈ [3, 4]

x ∈ (2, 3]

x ∈ [2, 4)

x ∈ [2, 3]

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6 / 10

6. Let A = {1, 2} and B = {3, 4}. Find the number of relations from A to B

number of relations from A into B will be 1⁴

number of relations from A into B will be 2⁴

number of relations from A into B will be 2¹

number of relations from A into B will be 2²

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7 / 10

7. If f(x) = x² + 2, x ∈ R, then the range of f(x) is

(-∞, 2) U (2, ∞)

(2, ∞)

(-∞, 2]

[2, ∞)

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8 / 10

8. If f(x) = ax + b, where a and b are integers, f(–1) = – 5 and f(3) = 3, then a and b are equal to

a = – 3, b = –1

a = 2, b = – 3

a = 0, b = 2

a = 2, b = 3

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9 / 10

9. The domain of the function f(x) = x/(x² + 3x + 2) is

R – {-1, -2}

R – {2}

R – {1, 2}

[-2,-1]

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10 / 10

10. Let A = {1,2,3}, B = {3,4} and C = {4,5,6}. Find (A × B) ∩ (A × C)

{(1, 3), (2, 4), (3, 4)}.

{(1, 4), (2, 4), (3, 4)}.

{(1, 4), (2, 4), (2, 4)}.

{(1, 4), (2, 2), (3, 4)}.

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