S is the point (4,0) and M is the foot of the perpendicular drawn From a point to the y-axis.If P moves such that the distance PS and PM remain equal,find the locus of point P

Answer 1

the locus is a parabola, as you can see from the definitions of the parabola. The directrix is the line x=0.

Use what you know about the equation

y^2 = 4px

In this case, the focus is at (4,0), so the vertex has been shifted to (2,0) and the equation is

y^2 = 4p(x-2)

Now figure out the value of p and you're done.

Answer 2

I didn't get that...
You mean locus is shifted..... How that can be possible