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3 circle of radii 1, 2 and 3 and centres...

3 circle of radii 1, 2 and 3 and centres at A, B and C respectively, touch each other. Another circle whose centre is P touches all these 3 circles externally. and has radius r. Also `anglePAB = theta` & `anglePAC = alpha`.

A

`cos theta = (3-r)/(3(1-r))`

B

`cos alpha = (2-r)/(2(1+r))`

C

`r = (6)/(23)`

D

`r = (6)/(sqrt(23))`

Text Solution

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The correct Answer is:
A, B, C
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