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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

2

b

1

c

4

d

5

answer is B.

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Detailed Solution


Given that 2a=10⇒a=5 and 2b=8⇒b=4  Now  b2=a2(1−e2) ⇒  e2=1−1625  ⇒e=35   Focus of ellipse (±3,0)   Taking (3,0) as centre, circle is drawn,   Radius of circle will be =5−3=2 

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