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JEE Math Practice Question

If $10 \sin ^4 \theta+15 \cos ^4 \theta=6$, then the value of $\frac{27 \operatorname{cosec}^6 \theta+8 \sec ^6 \theta}{16 \sec ^8 \theta}$ is

  1. A.$\frac{2}{5}$
  2. B.$\frac{3}{5}$
  3. C.$\frac{1}{5}$
  4. D.$\frac{3}{4}$

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