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AB is a line segment & M is its mid- point. Semi- circles are drawn with AM, MB & AB as diameters on the same side of the line AB. A circle C (o, r) is drawn so that it touches all the three semicircles. Prove that r = 1/6 AB

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AB is a line segment & M is its mid- point. Semi- circles are drawn with AM, MB & AB as diameters on the same side of the line AB. A circle C (o, r) is drawn so that it touches all the three semicircles. Prove that r = 1/6 AB



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