Class 12

Relation and Function question bank (Maths)

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Q1.

The relation $R$ is defined on the set of natural numbers as $\{(a, b) : a = 2b\}$. Then $R^{-1}$ is given by

(A)

$\{(2, 1), (4, 2), (6, 3), \dots\}$

(B)

$\{(1, 2), (2, 4), (3, 6), \dots\}$

(C)

$R^{-1}$ is not defined

(D)

None of these

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Q2.

The relation $R = \{(1, 1), (2, 2), (3, 3), (1, 2), (2, 3), (1, 3)\}$ on set $A = \{1, 2, 3\}$ is

(A)

Reflexive but not symmetric

(B)

Reflexive but not transitive

(C)

Symmetric and Transitive

(D)

Neither symmetric nor transitive

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