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What is The equation for locus of a point P for which the distance from P to (-4,0) is double the distance from P to X-Axis. Plz explain.

What is The equation for locus of a point P for which the distance from P to (-4,0) is double the distance from P to X-Axis.


Plz explain.

Grade:12

1 Answers

Ramesh V
70 Points
12 years ago

given A(-4,0) and let locus of point P be (x,y)

and P is 'y' units distant from X-axis

also, given PA=2y

 PA2=4y2

(x+4)2+y2 = 4y2

(x+4)2 = 3y2

The locus is a pair of staright lines: (x+4-31/2y)(x+4+31/2y)=0

--

regards

Ramesh


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