Relation R defined on set of natural numbers as {(a, b) : a differs from b by 3} , is given by

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2.Relations and Functions

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

A

$\{(1, 4, (2, 5), (3, 6),.....\}$

B

$\{(4, 1), (5, 2), (6, 3),.....\}$

C

$\{(1, 3), (2, 6), (3, 9),..\}$

D

None of these

Solution

(b) $R = \{ (a,\,b):a,\,b \in N,\,a – b = 3\} = \{ ((n + 3),n):n \in N\} $

$ = \{ (4,\,1),\,(5,\,2),\,(6,\,3),\,…..\} $.

Standard 11

Mathematics

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