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JEE Math Practice Question

All the pairs (x, y) that satisfy the inequality $${2^{\sqrt {{{\sin }^2}x - 2\sin x + 5} }}.{1 \over {{4^{{{\sin }^2}y}}}} \le 1$$ also satisfy the equation

  1. A.sin x = |sin y|
  2. B.sin x = 2sin y
  3. C.2 sin x = sin y
  4. D.2 |sin x | = 3 sin y

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