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

# A Circle Touches The x-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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## Question

### Solution

Correct option is

Parabola

Let the circle be (hk), k as it touches the axis of x. Again it touches the circle (0, 3), 2 therefore distance between the centres is equal to r1 ± r2

or x2 = 2y – 5

In either case it is a parabola.

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