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 $R$ 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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