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

(-∞, 2) U (2, ∞)

(2, ∞)

(-∞, 2]

[2, ∞)

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2 / 10

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

2x³

2/x³

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3 / 10

3. 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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4 / 10

4. If (x + 1, y – 2) = (3,1), find the values of x and y.

x = 1 and y = 2.

x = 2 and y = 3.

x = 2 and y = 1.

x = 2 and y = 2.

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5 / 10

5. 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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6 / 10

6. 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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7 / 10

7. 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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8 / 10

8. Let n (A) = m, and n (B) = n. Then the total number of non-empty relations that can be defined from A to B is

2^{mn – 1}

mⁿ

n^{m – 1}

m^{n – 1}

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9 / 10

9. 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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10 / 10

10. The range of f(x) = √(25 – x²) is

[0,5]

(0, 5)

(-5, 5)

[1,5]

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