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Q.

An ellipse is drawn with major and minor axis of lengths 10 and 8 respectively. Using one focus as centre, a circle is drawn that is tangent to the ellipse, with no part of the circle being outside the ellipse then radius of the circle is

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a

4

b

5

c

2

d

1

answer is B.

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Detailed Solution


Given that 2a=10a=5 and 2b=8b=4  Now  b2=a2(1e2)   e2=11625  e=35   Focus of ellipse (±3,0)   Taking (3,0) as centre, circle is drawn,   Radius of circle will be =53=2 

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