What is locus and equation of the locus of point ?

what is a locus

(1) The equation of locus of the point whose the distance from the x -axis is twice that of from the y -axis is (2) The equation of the locus of the point which moves equidistant form the coordinate axes is

If A(1,3) and B(2,1) are points,find the equation of the locus of point P such that PA=PB

Find the equation of the locus of the points twice as from (-a, 0) as from (a, 0).

A point P(x,y,z) is such that 3PA=2PB where AandB are the point (1,3,4) and (1,-2,-1), irrespectivley. Find the equation to the locus of the point P and verify that the locus is a sphere.

Locus And Its Equation

Given the points A(0,4) and B(0,4). Then the equation of the locus of the point P(x,y) such that |AP-BP|=6, is

The equation of the locus of points equidistant from (-1-1) and (4,2) is

The equation of the locus of points which are equidistant from the points (a+b,a-b) and (a-b,a+b) is

Find the equation of the locus of the point P equidistant from the points (2,3),(1,4)