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JEE Math Practice Question

If the point $$\left(\alpha, \frac{7 \sqrt{3}}{3}\right)$$ lies on the curve traced by the mid-points of the line segments of the lines $$x \cos \theta+y \sin \theta=7, \theta \in\left(0, \frac{\pi}{2}\right)$$ between the co-ordinates axes, then $$\alpha$$ is equal to :

  1. A.$$-$$7
  2. B.7
  3. C.$$-$$7$$\sqrt3$$
  4. D.7$$\sqrt3$$

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