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Two circles of radii `a and b` touching each other externally, are inscribed in the area bounded by `y=sqrt(1-x^2)` and the x-axis. If `b=1/2,` then `a` is equal to (a) `1/4` (b) `1/8` (c) `1/2` (d) `1/(sqrt(2))`

A

`(x-2)(x-8)+(y-4)(x-16)=0`

B

`(1)/(8)`

C

`(1)/(2)`

D

`(1)/(sqrt2)`

Text Solution

Verified by Experts

The correct Answer is:
`a=(1)/(4)`
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