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JEE Math Practice Question

Let $$\alpha$$1, $$\alpha$$2 ($$\alpha$$1 2) be the values of $$\alpha$$ fo the points ($$\alpha$$, $$-$$3), (2, 0) and (1, $$\alpha$$) to be collinear. Then the equation of the line, passing through ($$\alpha$$1, $$\alpha$$2) and making an angle of $${\pi \over 3}$$ with the positive direction of the x-axis, is :

  1. A.$$x - \sqrt 3 y - 3\sqrt 3 + 1 = 0$$
  2. B.$$\sqrt 3 x - y + \sqrt 3 + 3 = 0$$
  3. C.$$x - \sqrt 3 y + 3\sqrt 3 + 1 = 0$$
  4. D.$$\sqrt 3 x - y + \sqrt 3 - 3 = 0$$

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