Published by:
CGP EDU Academic Team
Published on: August 13, 2026
From any point on the hyperbola,
tangents are drawn to the hyperbola
. The area cut-off by the chord of contact on the asymptotes is equal to
Text Solution
Verified by ExpertsThe correct answer is:
D
Let
be a point on the hyperbola
, then 
The chord of contact of tangent from P to the hyperbola
is
.....(i)
The equation of asymptotes are
= 0 ......(ii)
And
= 0 ....(iii)
The point of intersection of the asymptotes and chord are
, (0, 0)
Area of triangle =
=

Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
A point on the curve is
If the eccentricities of the hyperbolas and be e and , then
If P is a point on the hyperbola whose foci are and , then
If the latus rectum of an hyperbola be 8 and eccentricity be , then the equation of the hyperbola …
The eccentricity of a hyperbola passing through the points (3, 0), will be
The one which does not represent a hyperbola is