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JEE Math Practice Question

The locus of the centroid of the triangle formed by any point P on the hyperbola $$16{x^2} - 9{y^2} + 32x + 36y - 164 = 0$$, and its foci is :

  1. A.$$16{x^2} - 9{y^2} + 32x + 36y - 36 = 0$$
  2. B.$$9{x^2} - 16{y^2} + 36x + 32y - 144 = 0$$
  3. C.$$16{x^2} - 9{y^2} + 32x + 36y - 144 = 0$$
  4. D.$$9{x^2} - 16{y^2} + 36x + 32y - 36 = 0$$

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