A and B are centres of two circles with radii 2 cm and 1 cm respectively, where AB = 5 cm. C is the centre of another circle of radius r cm, which tou...

Question

A and B are centres of two circles with radii 2 cm and 1 cm respectively, where AB = 5 cm. C is the centre of another circle of radius r cm, which touches each of the above two circles externally. If ∠ACB = 90°, then find the value of r.

Options

A.

5 cm

B.

2 cm

C.

3 cm

D.

4 cm

circlesgeometrytangencyright angleradius

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