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Let ABCD be a square of side length 2 un...

Let ABCD be a square of side length 2 units. `C_(2)` is the fircle through the vertices A, B, C, D and `C_(1)` is the circle touching all the of the square ABCD. L is a lien through vertex A. A circle touches the line L and the circle `C_(1)` externally such that both the circles are on the same side of the line L. The locus of the centre of the circle is

A

ellipse

B

hyperbola

C

parabola

D

pair of straight lines

Text Solution

Verified by Experts

The correct Answer is:
C
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