यदि द्विघाती समीकरण, $x^{2}+x \sin \theta-2 \sin \theta=0, \theta \in\left(0, \frac{\pi}{2}\right) \text {, }$ के मूल $\alpha$ तथा $\beta$ हैं, तो $\frac{\alpha^{12}+\beta^{12}}{\left(\alpha^{-12}+\beta^{-12}\right)(\alpha-\beta)^{24}}$ बराबर हैं 

• A

  $\frac{{{2^{12}}}}{{{{\left( {\sin \,\theta  + 8} \right)}^{12}}}}$

• B

  $\frac{{{2^{12}}}}{{{{\left( {\sin \,\theta  - 4} \right)}^{12}}}}$

• C

  $\frac{{{2^{12}}}}{{{{\left( {\sin \,\theta  - 8} \right)}^{6}}}}$

• D

  $\frac{{{2^{6}}}}{{{{\left( {\sin \,\theta  + 8} \right)}^{12}}}}$