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# A Relation R is Defined from {2, 3, 4, 5} to {3, 6, 7, 10} by : X R Y ⇔ X is Relatively Prime to Y. Then, Domain of R is (A) {2, 3, 5} (B) {3, 5} (C) {2, 3, 4} (D) {2, 3, 4, 5} - CBSE (Arts) Class 12 - Mathematics

#### Question

A relation R is defined from {2, 3, 4, 5} to {3, 6, 7, 10} by : x R y ⇔ x is relatively prime to y. Then, domain of R is ______________ .

• {2, 3, 5}

• {3, 5}

• {2, 3, 4}

• {2, 3, 4, 5}

#### Solution

{2, 3, 4, 5}

The relation R is defined as

R = {(x, y) : x {2, 3, 4, 5}, y {3, 6, 7, 10} : x is relatively prime to y}

⇒ R= (2, 3), (2, 7), (3, 7), (3, 10), (4, 7), (5, 3), (5, 7}

Hence, the domain of R includes all the values of x, i.e. {2, 3, 4, 5}.

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Solution A Relation R is Defined from {2, 3, 4, 5} to {3, 6, 7, 10} by : X R Y ⇔ X is Relatively Prime to Y. Then, Domain of R is (A) {2, 3, 5} (B) {3, 5} (C) {2, 3, 4} (D) {2, 3, 4, 5} Concept: Types of Relations.
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