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JEE Math Practice Question

If $$0 < x < \pi $$ and $$\cos x + \sin x = {1 \over 2},$$ then $$\tan x$$ is :

  1. A.$${{\left( {1 - \sqrt 7 } \right)} \over 4}$$
  2. B.$${{\left( {4 - \sqrt 7 } \right)} \over 3}$$
  3. C.$$ - {{\left( {4 + \sqrt 7 } \right)} \over 3}$$
  4. D.$${{\left( {1 + \sqrt 7 } \right)} \over 4}$$

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