Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Let S = 
, where r ≠ ± 1. Then S represents :
A
a hyperbola whose eccentricity 
, when 0 < r < 1.
, when 0 < r < 1.
B
an ellipse whose eccentricity is 
, when r > 1.
, when r > 1.
C
a hyperbola whose eccentricity is 
, when 0 < r < 1.
, when 0 < r < 1.
D
an ellipse whose eccentricity is 
, when r > 1.
, when r > 1.
Text Solution
Verified by ExpertsThe correct answer is:
B
Sol. 
– 
= 1
If r ∈ (0, 1), then this curve is a hyperbola whose
Eccentricity is 
= 
If r > 1, then this curve is an ellipse whose
Eccentricity is 
= 
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