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Position of point wrt ellipse - class-XII

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Multiple Choice

The dist.of a point P on the ellipse $\cfrac{{{x^2}}}{{12}} + \cfrac{{{y^2}}}{4} = 1$ from centre is $\sqrt 6 $ then the eccentric angle of P is 

  1. $\cfrac{\pi }{2}$
  2. $\cfrac{\pi }{6}$
  3. $\cfrac{\pi }{4}$
  4. $\cfrac{\pi }{3}$
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