Prove that the straight line touches the hyperbola if .

MATHEMATICS · Subjective · CBSE · Mathematics · Conic Sections · Conic Sections

Problem

Prove that the straight line lx+my+n=0lx + my + n = 0 touches the hyperbola x2a2−y2b2=1\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1 if a2l2−b2m2=n2a^2 l^2 - b^2 m^2 = n^2 .

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