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JEE Math Practice Question

If the equation cos4 $$\theta $$ + sin4 $$\theta $$ + $$\lambda $$ = 0 has real solutions for $$\theta $$, then $$\lambda $$ lies in the interval :

  1. A.$$\left[ { - {3 \over 2}, - {5 \over 4}} \right]$$
  2. B.$$\left( { - {1 \over 2}, - {1 \over 4}} \right]$$
  3. C.$$\left( { - {5 \over 4}, - 1} \right]$$
  4. D.$$\left[ { - 1, - {1 \over 2}} \right]$$

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