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Sets and Relations question

2006 · Shift 0 · Q82

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PYQ Library
JEE Main
Mathematics
Sets and Relations
2006 · Shift 0 · Q82

Sets and Relations question

2006 · Shift 0 · Q82

JEE MainMathematicsSets and RelationsMCQ+4 / −1

Let

W

denote the words in the English dictionary. Define the relation

R

by

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

the words

x

and

y

have at least one letter in common}. Then,

R

is

A
reflexive, symmetric and not transitive
B
reflexive, symmetric and transitive
C
reflexive, not symmetric and transitive
D
not reflexive, symmetric and transitive

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