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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.
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
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regards
Ramesh
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