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JEE Math Practice Question

The set of all possible values of $$\theta $$ in the interval (0, $$\pi $$) for which the points (1, 2) and (sin $$\theta $$, cos $$\theta $$) lie on the same side of the line x + y = 1 is :

  1. A.$$\left( {0,{\pi \over 4}} \right)$$
  2. B.$$\left( {0,{{3\pi } \over 4}} \right)$$
  3. C.$$\left( {{\pi \over 4},{{3\pi } \over 4}} \right)$$
  4. D.$$\left( {0,{\pi \over 2}} \right)$$

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