﻿ A variable circle passes through a fixed point A(p, q) and touches the x-axis. The locus of the other end of the diameter through A is: : Kaysons Education

# A Variable Circle Passes Through A Fixed Point A(p, q) And Touches The x-axis. The Locus Of The Other End Of The Diameter Through A is:

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## Question

### Solution

Correct option is

(x – p)2 = 4qy

Let B (α, β) be the other end of diameter through A(pq). centers is  and AB = 2r

We know that if a circle touches the axis of x then it is of the form (h,k), k i.e., ordinates of centre = radius

or        4qβ = (p – α)2

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