From any point on the hyperbola tangents are drawn to the hyperbola . Then area cut-off by the chord of contact on the asymptotes is equal to |
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a) |
b) |
c) |
d) |

From any point on the hyperbola tangents are drawn to the hyperbola . Then area cut-off by the chord of contact on the asymptotes is equal to |
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a) |
b) |
c) |
d) |

1 Answer

127 votes

**(d)**

Let be a point on the hyperbola

The chord of contact of tangents from to the hyperbola is given by

(i)

The equations of the asymptotes are

and

The points of intersection of (i) with the two asymptotes are given by

Area of the said triangle =

127 votes

127