Circle Doubt

JEE Advanced Papers › Co-ordinate Geometry questions › Circle Doubt

1) Inside a semi-circle of unit radius, two circle of radii r₁ and r₂ are drawn, touching the diameter and the semicircle and also touching each other externally. Prove that the maximum value of ( r₁+ r₂ ) = 2(âˆš2 -1)

#Mathematics #Co-ordinate Geometry

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Aditya Bhutra ·2012-02-06 02:16:33

clearly, maximum value occurs when r1=r2 .
by symmetry considerations it can be found that r1=r2=r=√2-1

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Circle Doubt

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