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If set A and B are defined as A = ...

If set A and B are defined as
`A = {(x,y)|y = 1/x, 0 ne x in R}, B = {(x,y)|y = -x , x in R,}`. Then

A

`A cap B=A`

B

`A cup B=B`

C

`A cap B= phi`

D

`A cup B=A`

Text Solution

Verified by Experts

The correct Answer is:
C
For `A cap B`, We have
`-x=1/x`
`rArr -x^2 = 1 `
`rArr x^ 2 =-1 ` which is not possible
`therefore A cap B = phi `
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