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R is a relation on N given by R={(x,y)...

R is a relation on N given by
`R={(x,y):4x+3y=20}.` Which of the following belongs to R?

A

`(-4,12)`

B

`(5,0)`

C

`(3,4)`

D

`(2,4)`

Text Solution

Verified by Experts

The correct Answer is:
C

Given `R ={(x,y) : 4 x + 3y = 20 }`
Since, R is a relation on N , therefore x,y are the elements of N.
But in options (a) and (b), elements are not natural numbers and option
(C) does not satisfy the give relation `4x + 3y = 20`
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