Published by:
CGP EDU Academic Team
Published on: August 12, 2026
The ellipse E 1 : 
is inscribed in a rectangle R whose sides are parallel to the coordinate axes. Another ellipse E 2 passing through the point (0, 4) circumscribes the rectangle R. The eccentricity of the ellipse E 2 is
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
C
Let required ellipse is
E 2 : 
It passes thorugh (0, 4)
0 + 
= 1 ⇒ b 2 = 16
It also passes through (±3, ±2)
= 1
= 1
⇒ a 2 = b 2 (1 – e 2 )
= 1– e 2
e 2 = 1 – 
= 
= 
e = 
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