If a line segment moves in the plane remaining parallel to so that the left end point…

MATHEMATICS · Single correct · CBSE · Mathematics · Coordinate Geometry · Coordinate Geometry

Problem

If a line segment

AM = a

moves in the plane

XOY

remaining parallel to

OX

so that the left end point

A

slides along the circle

x^2 + y^2 = a^2

, the locus of

M

is (1)

x^2 + y^2 = 4a^2

(2)

x^2 + y^2 = 2ax

(3)

x^2 + y^2 = 2ay

(4)

x^2 + y^2 - 2ax - 2ay = 0