If touches the circle

MATHEMATICS · Subjective · CBSE · Mathematics · Straight Lines · Straight Lines

Problem

If lx+my=1lx + my = 1 touches the circle x2+y2=a2x^2 + y^2 = a^2, prove that the point (l,m)(l, m) lies on the circle x2+y2=a−2x^2 + y^2 = a^{-2}.

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