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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)`.

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To 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 angles if \( h^2 + k^2 = c^2 \), we can follow these steps: ### Step 1: Write the equations We have the straight line: \[ hx + ky = 2hk \] And the circle (curve): ...
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