A circle touches the -axis and also touches the circle with centre (0, 3) and radius 2. The locus of the centre of the circle is |
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a) |
A circle |
b) |
An ellipse |
c) |
A parabola |
d) |
A hyperbola |

A circle touches the -axis and also touches the circle with centre (0, 3) and radius 2. The locus of the centre of the circle is |
|||||||

a) |
A circle |
b) |
An ellipse |
c) |
A parabola |
d) |
A hyperbola |

1 Answer - 5876 Votes

3537

**(c)**

Let be the centre of the circle

Circle touches the -axis then its radius is

Also circle touches the circle with centre and radius

Squaring

Locus is which is parabola