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JEE Math Practice Question

If the normal to the ellipse 3x2 + 4y2 = 12 at a point P on it is parallel to the line, 2x + y = 4 and the tangent to the ellipse at P passes through Q(4,4) then PQ is equal to :

  1. A.$${{\sqrt {61} } \over 2}$$
  2. B.$${{\sqrt {221} } \over 2}$$
  3. C.$${{\sqrt {157} } \over 2}$$
  4. D.$${{5\sqrt 5 } \over 2}$$

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