Published by:
CGP EDU Academic Team
Published on: August 11, 2026
If e and e’ are eccentricities of hyperbola and its conjugate respectively, then
Text Solution
Verified by ExpertsThe correct answer is:
A
Let hyperbola is
.....(i)
Then its conjugate will be,
.....(ii)
If
is eccentricity of hyperbola (i), then 
or
.....(iii)
Similarly if e ' is eccentricity of conjugate (ii), then
or
.....(iv)
Adding (iii) and (iv), 
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