If a point `P` moves such that its distance from `(a, 0)` is always equal to `a+x`-coordinate of `P`, show that the locus of `P` is `y^2 = 4ax`.

A point P moves so that its distance from the line given by x=-3 is equal to its distance from the point (3, 0). Show that the locus of P is y^(2)=12x .

A points P moves such that its distances from (1,2) and (-2,3) are equal.Then,the locus of P is

If a point P moves such that its distance from the point A(1, 1 ) and the line x + y + 2 = 0 are equal then the locus of P is

If a point P moves such that its distance from the point A(1,1) and the line x+y+2 are equal then the locus is

A point P moves such that its distances from two given points A and B are equal. Then what is the locus of the point P ?

A point P moves so that the sum of its distance from the points (ae, 0), (-ae, o) is 2a. The locus of the point P is (0ltelt1)