Prove that the straight lines joining the origin to the points of i...

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Prove that the straight lines joining the origin to the points of intersection of the straight line \( k x+h y=2 h k \) with the curve \( (x-h)^{2}+(y-k)^{2}=c^{2} \) are at right angles, if \( h^{2}+k^{2}=c^{2} \).
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