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If A hyperbola be rectangular and its equation be `xy=c^(2)`, prove that the locus of the middle points of chords of constant length 2d is `(x^(2)+y^(2))(xy-c^(2)=d^(2)xy`.

A

`(x^2+y^2)(xy-c^2)=d^2`

B

`(x^2+y^2)(xy-c^2)=d^2xy`

C

`(x^2+y^2)(xy-c^2)=xy`

D

`2(xy-c^2)=d^2`

Text Solution

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The correct Answer is:
B
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