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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


Question ID - 56698 | Toppr Answer

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

Answer Key : (c) -

(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



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