JEE MATHEMATICS MCQ: RELATIONS

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Analyzing +4 | -1

Consider the following two binary relations on the set

A=\{a, b, c\}: R_{1}=\{(\mathrm{c}, a)(b, b),(\mathrm{a}, c),(c, c),(b, c),(a, a)\}

and

R_{2}=\{(a, b),(b, a),(c, c),(c, a),(a, a),(b, b),(a, c)

. Then

View answer and explanation

Correct option: A

R_{2}

is symmetric but it is not transitive

Option A (

R_2

is symmetric but it is not transitive) is correct because

R_2

satisfies the symmetric property but not the transitive property.

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\mathrm{Z}

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R