JEE MATHEMATICS MCQ: RELATIONS

1 Easy

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Application +4 | -1

Let

{R}

be the relation on the set

{N}

of natural numbers defined by

{R}:\{({x}, {y})\}: {x}+3 {y}=12 {x} \in {N}, {y} \in {N}\}

then domain of

{R}

View answer and explanation

Correct option: C

\{9,6,3\}

Option C (

\\{9,6,3\\}

) is correct because substituting

y = 1, 2, 3

into the equation

x + 3y = 12

yields

x = 9, 6, 3

respectively, and these are the only natural number solutions.

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R