Published by:
CGP EDU Academic Team
Published on: August 13, 2026
If two points P and Q lie on the hyperbola 
, whose centre C be such that CP is perpendicular to CQ, then the value of 
is
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
D
Let CP = r 1 be inclined to transverse axis at an angle 
such that P(r 1 cos 
, r 1 sin 
) lies on the hyperbola. Therefore,
Replacing 
by 
, we get,
(where CQ=r 2 )
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
Tangents are drawn from the point to the hyperbola 3x 2 - 2y 2 = 6 and are inclined at angles and…
Let x 2 + y 2 = 4r 2 and xy = 1 intersects at A and B in first quadrant. If AB = units, then the v…
Number of points from where perpendicular tangents to the curve can be drawn, is/are
The equation of a hyperbola is . If is a point from which perpendicular tangents can be drawn to …
If a circle drawn by assuming a chord parallel to the transverse axis of hyperbola as diameter alw…
If the focus of a hyperbola is (±3,0) and the equation of a tangent is 2x + y - 4 = 0, then the equ…