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CGP EDU Academic Team
Published on: August 14, 2026
Consider ellipses Ek : kx 2 + k 2 y 2 = 1, k = 1, 2,..., 20. Let Ck be the circle which touches the four chords joining the end points (one on minor axis and another on major axis) of the ellipse E k . If r k is the radius of the circle C k , then the value of 
i
Text Solution
Verified by ExpertsThe correct answer is:
A
Given
Now equation of the chord joining the point 
will be,
Now r k =Perpendicular distance of L k from (0,0) we get,
Now putting the value of 
in 
we get,
=210+2870=3080
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