﻿ If a line segment AM = a moves in the plane XOY remaining parallel toOX so that the left end point A slides along the circle x2 + y2 = a2, the locus of M is : Kaysons Education

# If A Line Segment AM = a moves In The Plane XOY remaining Parallel ToOX so That The Left End Point A slides Along The Circle x2 + y2 = a2, The Locus Of M is

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## Question

### Solution

Correct option is

x2 + y2 = 2ax

Let the coordinates of A be (xy) and M be (α, β) (Fig.).

Since AM is parallel to OX,

α = x + a and β = y      ⇒     x = α – a and y = β

As A(xy) lies on the circle x2 + y2 = a2 we have

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