Published by:
CGP EDU Academic Team
Published on: August 13, 2026
An ellipse has its centre at (1, –1) and semi-major axis = 8 and which passes through the point (1 3). Then the equation of the ellipse is-
A
+ 
= 1
B
+ 
= 1
C
+ 
= 1
D
+ 
= 1
Text Solution
Verified by ExpertsThe correct answer is:
B
Equation of the ellipse with centre at (1, –1) can be written as 
+ 
= 1,
where a = semi-major axis and b = semi-minor axis.
If a = 8, then ellipse is 
+ 
= 1.
This passes through (1, 3)
∴ 0 + 
= 1 ⇒ b 2 = 16
Hence equation of ellipse is
+ 
= 1.
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