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NTA Abhyas 2020

Exam: NTA Abhyas
Year: 2020
Subject: Mathematics
Chapter: Sets and Relations

NTA Abhyas 2020 · Mathematics · Sets and Relations

A relation R is defined from 2, 3, 4, 5 to 3, 6, 7, 10 by xRy ⇒ x...

A relation $R$ is defined from ${ 2, 3, 4, 5 }$ to ${ 3, 6, 7, 10 }$ by $xRy ⇒ x$ is relatively prime to $y$ , then domain of $R$ & is

Options

A ${ 2, 3, 5 }$
B $\left\{3, 5\right\}$
C $\left\{2, 3, 4\right\}$
D $\left\{2, 3, 4, 5\right\}$

Correct answer

D. $\left\{2, 3, 4, 5\right\}$

Step-by-step solution

Given,

xRy ⇒ x

is relatively prime to

y

.

R = { \left(2, 3\right), \left(2, 7\right), \left(3,7\right), \left(3,10\right), \left(4, 3\right), \left(4, 7\right), \left(5, 3\right), \left(5, 6\right), \left(5, 7\right) }

∴

Domain of

R = { 2, 3, 4, 5 }

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