JEE Math Practice Question
For $$\alpha, \beta, \gamma \neq 0$$, if $$\sin ^{-1} \alpha+\sin ^{-1} \beta+\sin ^{-1} \gamma=\pi$$ and $$(\alpha+\beta+\gamma)(\alpha-\gamma+\beta)=3 \alpha \beta$$, then $$\gamma$$ equals
- A.$$\sqrt{3}$$
- B.$$\frac{\sqrt{3}}{2}$$
- C.$$\frac{1}{\sqrt{2}}$$
- D.$$\frac{\sqrt{3}-1}{2 \sqrt{2}}$$
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