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Two circles of radii `r_(1)` and `r_(2), r_(1) gt r_(2) ge2` touch each other externally. If `theta` be the angle between the direct common tangents, then,

A

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

B

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

C

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

D

None of these

Text Solution

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The correct Answer is:
B
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