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JEE Math Practice Question

The set of all values of $$\lambda$$ for which the equation $${\cos ^2}2x - 2{\sin ^4}x - 2{\cos ^2}x = \lambda $$ has a real solution $$x$$, is :

  1. A.$$\left[ { - 2, - 1} \right]$$
  2. B.$$\left[ { - {3 \over 2}, - 1} \right]$$
  3. C.$$\left[ { - 2, - {3 \over 2}} \right]$$
  4. D.$$\left[ { - 1, - {1 \over 2}} \right]$$

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