JEE MAIN - Mathematics Hindi (2024 - 31st January Morning Shift - No. 2)

$$\alpha, \beta, \gamma \neq 0$$, के लिए, यदि $$\sin ^{-1} \alpha+\sin ^{-1} \beta+\sin ^{-1} \gamma=\pi$$ हे तथा $$(\alpha+\beta+\gamma)(\alpha-\gamma+\beta) =3 \alpha \beta$$ है, तो $$\gamma$$ बराबर है।
$$\sqrt{3}$$
$$\frac{\sqrt{3}}{2}$$
$$\frac{1}{\sqrt{2}}$$
$$\frac{\sqrt{3}-1}{2 \sqrt{2}}$$

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