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Let R be a relation on N defined by x+2y...

Let `R` be a relation on `N` defined by `x+2y=8.` The domain of `R` is

A

{2,4,8}

B

{2,4,6,8}

C

{2,4,6}

D

{1,2,3,4}

Text Solution

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The correct Answer is:
C) `{2,4,6}`
`x+2 y=8 `
`x=8-2 y`

Since y and x both must be natural,
Possible values of y are` 1,2,3 `which corresponds to possible value of y to be` 6,4,2.`

Thus range of ` R={2,4,6}`
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