JEE MATHEMATICS MCQ: RELATIONS

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Analyzing +4 | -1

The relation

R = \left\{ {\left( {a,b} \right):\gcd \left( {a,b} \right) = 1,\,2a \ne b,\,\,a,b \in \mathbb{Z}} \right\}

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Correct option: C

Symmetric but not transitive

Option C (Symmetric but not transitive) is correct because the relation satisfies the symmetric property but fails the transitive property.

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\mathrm{Z}

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a d(b+c)=b c(a+d)

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R=\{(x, y) \in W \times W \mid

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y

\}

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S

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R

X

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R