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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 `(a gt b le 2)` . Then

A

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

B

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

C

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

D

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

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The correct Answer is:
D
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