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Two circles with radii a and b touch eac...

Two circles with radii a and b touch each other externally such that `theta` is the angle between the direct common tangents `(agtbge2)` , then

A

`theta=2cos^(-1)((a-b)/(a+b))`

B

`theta=2tan^(-1)((a+b)/(a-b))`

C

`theta=2sin^(-1)((a+b)/(a-b))`

D

`theta=2sin^(-1)((a-b)/(a+b))`

Text Solution

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The correct Answer is:
D
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