A function R on the set N of natural numbers is defined as R- 2n-2n-1 -n - N The domain of R is

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Standard XII

Mathematics

Power Set

A function ...

Question

A function $R$ on the set $N$ of natural numbers is defined as $R = {(2 n, 2 n + 1) : n ϵ N}$ The domain of $R$ is

{1, 2, 3, 4, 5, . . . .}

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{2, 4, 6, 8, . . . .}

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{1, 3, 5, 7....}

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all integers

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Solution

The correct option is D ${2, 4, 6, 8, . . . .}$
Given function is $R = {(2 n, 2 n + 1) : n ϵ N}$

Domain of $R = 2 n$ where $n ϵ N$

$\Rightarrow$ Domain $= {2, 4, 6, 8, . . . .}$

Hence, option B.

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A function R on the set N of natural numbers is defined as R={(2n,2n+1):nϵN} The domain of R is

The correct option is D {2,4,6,8,....}Given function is R={(2n,2n+1):nϵN}Domain of R=2n where nϵN⇒ Domain ={2,4,6,8,....}Hence, option B.

A function $R$ on the set $N$ of natural numbers is defined as $R = {(2 n, 2 n + 1) : n ϵ N}$ The domain of $R$ is

The correct option is D ${2, 4, 6, 8, . . . .}$
Given function is $R = {(2 n, 2 n + 1) : n ϵ N}$

Domain of $R = 2 n$ where $n ϵ N$

$\Rightarrow$ Domain $= {2, 4, 6, 8, . . . .}$

Hence, option B.