The centres of those circles which touch...

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 circle. (2) an ellipse which is not a circle. (3) a hyperbola. (4) a parabola.

A

an ellipse, which is not a circle

B

a hyperbola

C

a parabola

D

a circle

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The correct Answer is:

C

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