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### Question Asked by a Student from EXXAMM.com Team

** Q 1750256114. ** `AB` is a line segment of length `2a`, with `M` as

mid-point. Semi-circles are drawn on one side

with `AM, MB` and `AB` as diameter as shown in the

figure. `A` circle with centre `O` and radius `r` is drawn such

that this circle touches all the three semi-circles. The

value of `r` is

**CDS 2015 Paper-2**