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JEE Math Practice Question

If m and M are the minimum and the maximum values of 4 + $${1 \over 2}$$ sin2 2x $$-$$ 2cos4 x, x $$ \in $$ R, then M $$-$$ m is equal to :

  1. A.$${{15} \over 4}$$
  2. B.$${{9} \over 4}$$
  3. C.$${{7} \over 4}$$
  4. D.$${{1} \over 4}$$

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