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JEE Math Practice Question

Let a circle of radius 4 be concentric to the ellipse $$15 x^{2}+19 y^{2}=285$$. Then the common tangents are inclined to the minor axis of the ellipse at the angle :

  1. A.$$\frac{\pi}{4}$$
  2. B.$$\frac{\pi}{3}$$
  3. C.$$\frac{\pi}{6}$$
  4. D.$$\frac{\pi}{12}$$

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