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Mathematics Quiz: Relations and Functions

Class XI
Mathematics
Relations and Functions
12 questions
HARD

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Preview questions

1. Which of the following is a function?

{(1, 2), (1, 3)} · {(1, 2), (2, 2)} · {(1, 2), (2, 3), (1, 3)} · {(1, 2), (2, 2), (2, 3)}

2. If A = {1, 2, 3} and B = {4, 5}, what is the number of relations from A to B?

2^3 · 3^2 · 2^2 · 3^3

3. The range of the function f(x) = x^2 for x ∈ R is:

R · [0, ∞) · (-∞, 0) · [0, 1]

4. Which of the following represents a one-to-one function?

f(x) = x^2 · f(x) = 2x + 3 · f(x) = sin(x) · f(x) = x^3

5. If R is a relation on set A, which of the following is true for R to be reflexive?

For every a ∈ A, (a, a) ∈ R · For every a ∈ A, (a, b) ∈ R · R must contain all ordered pairs · R must be empty