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1. Relations
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Q4 of 109 Page 1

The relation R defined on the set A = {1, 2, 3, 4, 5} by R = is given by

Given set A = {1, 2, 3, 4, 5} and relation R ={(a,b):|a2-b2|<16}

According to the condition |a2-b2|<16:


⇒ R={(1, 1), (2, 1), (3, 1), (4, 1), (2, 3),(2, 2), (3, 2), (4, 2), (2, 4),(3, 3), (4, 3), (5, 4), (3, 4)}

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2

Which of the following is not an equivalence relation on Z?

3

R is a relation on the set Z of integers and it is given by (x, y) ϵ R ⬄ |x – y| ≤ 1. Then, R is

5

Let R be the relation over the set of all straight lines in a plane such that ℓ1 R ℓ2⬄ ℓ1⊥ ℓ2. Then, R is

6

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Questions · 109
1. Relations
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