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If the straight line (x-alpha)/(l)=(y-be...

If the straight line `(x-alpha)/(l)=(y-beta)/(m)=(z-gamma)/(n)` intersect the curve `ax^2+by^2=1, z=0,` then prove that `a(alphan-gammal)^2+b(betan-gammam)^2=n^2`

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