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JEE Math Practice Question

The centres of those circles which touch the circle, $${x^2} + {y^2} - 8x - 8y - 4 = 0$$, externally and also touch the $$x$$-axis, lie on :

  1. A.a circle
  2. B.an ellipse which is not a circle
  3. C.a hyperbola
  4. D.a parabola

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