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AB is a line segment of length 2a with ...


AB is a line segment of length 2a with M as mid-point. Semicircles are drawn on one side with AM, MB and AB as diameter as shown in the above figure. A circle .with centre O and radius r is drawn such that this circle touches all the three semicircles. The value of r is

A

`(2a)/(3)`

B

`(a)/(2)`

C

`(a)/(3)`

D

`(a)/(4)`

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