Class 12

Relation and Function question bank (Maths)

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Q1.

The relation $R$ defined on the set of natural numbers as $\{(a, b) : a\}$ differs from $b$ by $3\}$ is given by

(A)
$\{(1, 4), (2, 5), (3, 6), \dots\}$
(B)
$\{(4, 1), (5, 2), (6, 3), \dots\}$
(C)
$\{(1, 3), (2, 6), (3, 9), \dots\}$
(D)
None of these
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Q2.

The relation "less than" in the set of natural numbers is

(A)
Only symmetric
(B)
Only transitive
(C)
Only reflexive
(D)
Equivalence relation
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