Published by:
CGP EDU Academic Team
Published on: August 13, 2026
If 
, then which one of the following statements is incorrect?
A
represents a circle with radius 
, when 
B
represents an ellipse with eccentricity 
, when 
C
represents a hyperbola with eccentricity 
, when 
D
represents a hyperbola with eccentricity 
, when 
Text Solution
Verified by ExpertsThe correct answer is:
C
Given that 
Put 
Represent equation of hyperbola, where 
and 
.
Now, 
Put 
, we get 
Represent equation of hyperbola where 
and 
.
Now, 
.
──────────────────────────────────────────────────────────────────────────────────────────
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…