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JEE Math Practice Question

Which of the following points lies on the locus of the foot of perpedicular drawn upon any tangent to the ellipse, $${{{x^2}} \over 4} + {{{y^2}} \over 2} = 1$$ from any of its foci?

  1. A.$$\left( { - 1,\sqrt 3 } \right)$$
  2. B.$$\left( { - 2,\sqrt 3 } \right)$$
  3. C.$$\left( { - 1,\sqrt 2 } \right)$$
  4. D.$$\left( {1,2 } \right)$$

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