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Let R={(x ,\ y):|x^2-y^2|<1} be a relati...

Let `R={(x ,\ y):|x^2-y^2|<1}` be a relation on set `A={1,\ 2,\ 3,\ 4,\ 5}` . Write `R` as a set of ordered pairs.

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The correct Answer is:
` R={(1,1)(2,2)(3,3)(4,4)(5,5)}`
As `(x,y)`:`|x^2 - y^2| lt 1`
`|x^{2}-y^{2}|<1 `
`-1 lt x^{2}-y^{2} lt 1 `
as A and B has integer value ,thus `|x^2-y^2 |` can own value `0` only
So,` R={(1,1)(2,2)(3,3)(4,4)(5,5)}`
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