﻿ Find the locus of a point which moves such that its distance from the point (0, 0) is twice its distance from the y – axis. : Kaysons Education

# Find The Locus Of A Point Which Moves Such That Its Distance From The Point (0, 0) Is Twice Its Distance From The y – Axis.

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## Question

### Solution

Correct option is

Let P(x1, y1) be the moving point whose locus is required.

By hypothesis |OP| = 2|PM|

Squaring both sides then

Changing (x1y1) to (x, y) then

Which is the required locus of P.

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