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A parabola y^(2)=4axandx^(2)=4by interse...

A parabola `y^(2)=4axandx^(2)=4by` intersect at two points. A circle is passed through one of the intersection point of these parabolas and touch the directrix of first parabola then the locus of the centre of the circle is

A

straight line

B

ellipse

C

circle

D

parabola

Text Solution

Verified by Experts

The correct Answer is:
D
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