Published by:
CGP EDU Academic Team
Published on: August 13, 2026
The coordinates of the point of intersection of two tangents to a rectangular hyperbola referred to its asymptote as axes are -
Text Solution
Verified by ExpertsThe correct answer is:
C
The equation of the hyperbola referred to its asymptotes as the coordinates axes is xy = c 2 .
The equations of the tangents to it at
P 
and Q 
are 
= 2c
And 
+ yt 2 = 2c.
These two intersect at R 
Now, H.M. of ct 1 and ct 2 is 
= 
and, H.M. of 
and 
is 
= 
.
Hence the coordinates of R are the harmonic means of the coordinates of the points of contact P and Q.
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