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A circle cuts the rectangular hyperbola...

A circle cuts the rectangular hyperbola `xy=1` in the points `(x_(r),y_(r)), r=1,2,3,4`.
Prove that `x_(1)x_(2)x_(3)x_(4)=y_(1)y_(2)y_(3)y_(4)=1`

A

`y_(1)y_(2)y_(3)y_(4)=1`

B

`x_(1)x_(2)x_(3)x_(4)=`

C

`x_(1)x_(2)x_(3)x_(4)=y_(1)y_(2)y_(3)y_(4)=-1`

D

`y_(1)y_(2)y_(3)y_(4)=0`

Text Solution

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The correct Answer is:
A, B
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