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JEE Math Practice Question

Let A(1, 4) and B(1, $$-$$5) be two points. Let P be a point on the circle (x $$-$$ 1)2 + (y $$-$$ 1)2 = 1 such that (PA)2 + (PB)2 have maximum value, then the points, P, A and B lie on :

  1. A.a straight line
  2. B.an ellipse
  3. C.a parabola
  4. D.a hyperbola

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