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

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If a variable line has its intercepts on the coordinate axes $e a n d e^{p r i m e},$ where $\frac{e}{2} a n d e^{p r i m e} 2$ are the eccentricities of a hyperbola and its conjugate hyperbola, then the line always touches the circle $x^{2} + y^{2} = r^{2},$ where $r =$ 1 (b) 2 (c) 3 (d) cannot be decided

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Michael Discussed

If a variable line has its intercepts on the coordinate axes

e a n d e^{p r i m e},

where

\frac{e}{2} a n d e^{p r i m 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 =

1 (b) 2 (c) 3 (d) cannot be decided

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Question Text

If a variable line has its intercepts on the coordinate axes

e a n d e^{p r i m e},

where

\frac{e}{2} a n d e^{p r i m 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 =

1 (b) 2 (c) 3 (d) cannot be decided

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