Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Equation of the ellipse whose axes are the axes of coordinates and which passes through the point (–3, 1) and has eccentricity 
is :
Text Solution
Verified by ExpertsThe correct answer is:
CA
(a,b)
= 1
= 1 ..........
case - 1 when a > b
b 2 = a 2 (1 – e 2 )
b 2 = a 2 (1 – 2/5)
5b 2 = 3a 2 .........
from &
& ls
+ 
= 1 ⇒ b 2 = 
∴ a 2 = 
∴ 
+ 
= 1 ⇒ 3x 2 + 5y 2 – 32 = 0 Ans.
case - 2 when b > a
a 2 = b 2 (1 – e 2 )
= 
b 2 .......
from &
a 2 = 
, b 2 = 16
∴ 
= 1
⇒ 5x 2 + 3y 2 – 48 = 0
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