If a variable line has its intercepts on the coordinate axes are and

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

Problem

If a variable line has its intercepts on the coordinate axes are

e

and

e'

, where

\frac{e}{2}

and

\frac{e'}{2}

are the eccentricities of a hyperbola and its conjugate hyperbola, then the line always touches the circle

x^2 + y^2 = r^2

, where

r