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Sets and Relations question

2024 · 29 Jan · Shift 1 · Q39

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PYQ Library
JEE Main
Mathematics
Sets and Relations
2024 · 29 Jan · Shift 1 · Q39

Sets and Relations question

2024 · 29 Jan · Shift 1 · Q39

JEE MainMathematicsSets and RelationsMCQ+4 / −1

Let

R

be a relation on

Z \times Z

defined by

(a, b) R(c, d)

if and only if

a d-b c

is divisible by 5. Then

R

is

A
Reflexive and transitive but not symmetric
B
Reflexive and symmetric but not transitive
C
Reflexive but neither symmetric nor transitive
D
Reflexive, symmetric and transitive

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