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Sets and Relations question

2018 · 15 Apr · Shift 1 · Q32

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JEE Main
Mathematics
Sets and Relations
2018 · 15 Apr · Shift 1 · Q32

Sets and Relations question

2018 · 15 Apr · Shift 1 · Q32

JEE MainMathematicsSets and RelationsMCQ+4 / −1

Consider the following two binary relations on the set A = {a, b, c} : R1 = {(c, a), (b, b), (a, c), (c, c), (b, c), (a, a)} and R2 = {(a, b), (b, a), (c, c), (c, a), (a, a), (b, b), (a, c)}. Then :

A
both R1 and R2 are not symmetric.
B
R1 is not symmetric but it is transitive.
C
R2 is symmetric but it is not transitive.
D
both R1 and R2 are transitive.

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