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Prove that the straight lines joining th...

Prove that the straight lines joining the origin to the points of intersection of the straight line `hx+ky=2hk` and the curve `(x-k)^(2)+(y-h)^(2)=c^(2)` are at right angle if `h^(2)+k^(2)=c^(2)`.

A

`h^2+k^2+c^2=0`

B

`h^2-k^2-c^2=0`

C

`h^2+k^2-c^2=0`

D

none of these

Text Solution

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The correct Answer is:
C
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