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The centres of those circles which touch the circle, x^2 + y^2 - 8x - 8y - 4 = 0, externally and

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The centres of those circles which touch the circle, x2 + y2 - 8x - 8y - 4 = 0, externally and also touch the X-axis, lie on 

(a) a circle

(b) an ellipse which is not a circle

(c) a hyperbola

(d) a parabola

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Correct Option (d) a parabola

Explanation:

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