Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Let the transverse axis of a hyperbola
be parallel to the
axis and
be the equation of the auxiliary circle of
. If the asymptotes of
are at right angles, then the equation of the hyperbola is
Text Solution
Verified by ExpertsThe correct answer is:
D
Centre of auxiliary circle
centre of hyperbola
length of transverse axis
Diameter of auxiliary circle
hyperbola whose asymptotes are at right angles to each other is rectangular hyperbola i.e

Since,
Now, equation of hyperbola is

──────────────────────────────────────────────────────────────────────────────────────────
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
The circle touching the coordinate axes with its centre lying on is
Suppose a circle passes through and having its centre at . Then the value of is
For any real number , the point lies on on a/an
The area of the circle passing through the points , is
The ratio of the largest and shortest distances from the point to the circle is
A circle has its centre in the first quadrant and passes through . If this circle makes intercepts…