Show that for all values of \( \lambda \), the lines joining the or...

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Show that for all values of \( \lambda \), the lines joining the origin to the points common to \( x^{2}+2 h x y-y^{2}+g x+f y=0 \) and \( f x-g y=\lambda \) are at right angles.
\( \mathrm{P} \)
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