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JEE Math Practice Question

Let $$\alpha$$ be the angle between the lines whose direction cosines satisfy the equations l + m $$-$$ n = 0 and l2 + m2 $$-$$ n2 = 0. Then the value of sin4$$\alpha$$ + cos4$$\alpha$$ is :

  1. A.$${{3 \over 8}}$$
  2. B.$${{3 \over 4}}$$
  3. C.$${{1 \over 2}}$$
  4. D.$${{5 \over 8}}$$

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