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Sketch the locus (1 Viewer)

Smile12345

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Hello All,

If I were to sketch the locus and hence write it's equation...

A point P(x, y) which moves so that its distance from the x axis is 3 times its distance from the y axis.

Thanks... :)
 
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braintic

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No it would be a pair of straight lines.

The distance of P from the x axis is |y|.
The distance of P from the y axis is |x|.

So you get |y|=3|x|, which simplifies to y=+/- 3x
 

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