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JEE Math Practice Question

If the tangents drawn to the hyperbola 4y2 = x2 + 1 intersect the co-ordinate axes at the distinct points A and B then the locus of the mid point of AB is :

  1. A.x2 $$-$$ 4y2 + 16x2y2 = 0
  2. B.x2 $$-$$ 4y2 $$-$$ 16x2y2 = 0
  3. C.4x2 $$-$$ y2 + 16x2y2 = 0
  4. D.4x2 $$-$$ y2 $$-$$ 16x2y2 = 0

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