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Test: Relations & Functions- 1 - Question 1

If R is a relation from a non – empty set A to a non – empty set B, then

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Test: Relations & Functions- 1 - Question 3

Let R be the relation over the set of straight lines of a plane such that l_{1} R l_{2} ⇔ l_{1} ⊥ l_{2}. Then, R is

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Test: Relations & Functions- 1 - Question 6

The binary relation S = Φ (empty set) on set A = {1, 2, 3} is

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Test: Relations & Functions- 1 - Question 7

The void relation (a subset of A x A) on a non empty set A is:

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Test: Relations & Functions- 1 - Question 9

The domain of the function f = {(1, 3), (3, 5), (2, 6)} is

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Test: Relations & Functions- 1 - Question 11

Let R be the relation on N defined as x R y if x + 2 y = 8. The domain of R is

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Test: Relations & Functions- 1 - Question 12

If n ≥ 2, then the number of onto mappings or surjections that can be defined from {1, 2, 3, 4, ……….., n} onto {1, 2} is

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Test: Relations & Functions- 1 - Question 16

Which of the following is not an equivalence relation on I, the set of integers ; x, y

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Test: Relations & Functions- 1 - Question 17

If A = {1, 2, 3}, then the relation R = {(1, 2), (2, 3), (1, 3) in A is

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Test: Relations & Functions- 1 - Question 21

Let A = {a, b, c} and R = {(a, a), (b, b), (c, c), (b, c)} be a relation on A. Here, R is

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Test: Relations & Functions- 1 - Question 22

A relation R from C to R is defined by x Ry iff |x| = y. Which of the following is correct?

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Test: Relations & Functions- 1 - Question 23

A relation R in a set A is said to be an equivalence relation if

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Test: Relations & Functions- 1 - Question 24

Let f: R → R be a mapping such that f(x) = . Then f is

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