Published by:
CGP EDU Academic Team
Published on: August 13, 2026
An ellipse with major axis 4 and minor axis 2 touches both the coordinate axis, then Locus of its centre is
A
x 2 – y 2 = 5
B
x 2 .y 2 = 5
C
+ y 2 = 5
D
x 2 + y 2 = 5
Text Solution
Verified by ExpertsThe correct answer is:
D
Statement-1
Let the director circle is (x – h) 2 + (y – k) 2 = a 2 + b 2
origin lies on director circle
⇒ h 2 + k 2 = a 2 + b 2 = 5
Locus is x 2 + y 2 = 5
Statement-2 true
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