Published by:
CGP EDU Academic Team
Published on: August 14, 2026
If the line
passes through the extremities of a pair of conjugate diameters of the hyperbola
then
Text Solution
Verified by ExpertsThe correct answer is:
A
The extremities of a pair of conjugate diameters of
are
and
respectively.
According to the question, since extremities of a pair of conjugate diameters lie on 
⇒ ⇒
……(i)
Then from (i),
or
……(ii)
And from (ii),
or
……(iii)
Then subtracting (ii) from (iii)
or

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