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1. Relations
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Q4 of 109 Page 1

Write the smallest reflexive relation of set A = {1, 2, 3, 4}.

The smallest reflexive relation of set A = {1, 2, 3, 4} is as under:


As Relation R on a set A is said to be a reflexive relation on A if:


⇒ (a,a) ∈ R ∀ a ∈ A


⇒ R={(1,1),(2,2),(3,3),(4,4)}


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2

If R = {(x,y): x2 + y2 ≤ 4; x,y ϵ Z} is a relation of Z, write the domain of R.

3

Write the identity relation of set A = {a, b, c}.

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If R = {(x,y) : x + 2y = 8} is a relation on N, then write the range of R.

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Questions · 109
1. Relations
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