Alg6.24

Find the locus of a point P,the square of whose distance from origin is 4 times its y coordinate.

Let P be (x,y).

The geometric condition given is

$OP^{2}=4y\,$

Squaring both sides,we get

$OP^{2}=4y\,$

$(x-0)^2+(y-0)^2=4y\,$

$x^2+y^2=4y\,$