Two circles with radii \( r_{1} \) and \( r_{2} \) , \( r_{1}r_{2} \geq 2 \), touch each othe...

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Two circles with radii \( r_{1} \) and \( r_{2} \) , \( r_{1}r_{2} \geq 2 \), touch each other externally. If \( \theta \) be the angle between the direct common tangents, then
(a) \( \theta=\sin ^{-1}\left(\frac{r_{1}+r_{2}}{r_{1}-r_{2}}\right) \)
(b) \( \theta=2 \sin ^{-1}\left(\frac{r_{1}-r_{2}}{r_{1}+r_{2}}\right) \)
(c) \( \theta=\sin ^{-1}\left(\frac{r_{1}-r_{2}}{r_{1}+r_{2}}\right) \)
(d) \( \theta=2 \sin ^{-1}\left(\frac{r_{1}+r_{2}}{r_{1}-r_{2}}\right) \)
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