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In the given figure, AB is a line of len...

In the given figure, AB is a line of length 2a and mid Point M. Taking AM, MB and AB as diameters semi circles are drawn on the same sides of the line. Taking centre O and radius 'r' a circle is drawn such that it touches all the three circles. Then find the value of r.

A

`(2a)/(3)`

B

`(a)/(2)`

C

`(a)/(3)`

D

`(a)/(4)`

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