Find the locus of a point which moves so that its distances from the points `(3,4,-5) and (-2,1,4)` are equal.

Find the equation of the set of the points P such that its distances from the points A (3, 4, 5) and B ( 2, 1, 4) are equal.

Find the equation of the set of the points P such that is distances from the points A(3,4,-5)a n d\ B(-1,2,4) are equal.

Find the locus of a point whose each point is equidistant from the points A(2,3,-4) and B(-1,2,3).

Find the locus of a point such that the sum of its distance from the points (2, 2) and (2,-2) is 6.

Find the locus of a point such that the sum of its distances from the points (0, 2) and (0, -2) is 6.

Find the locus of a point which moves in such away that the square of its distance from the point (3,-4) is numerically equal to its distance from the line 5x-12 y=13.

Find the locus of a point , which moves such that its distance from the point (0,-1) is twice its distance from the line 3x+4y+1=0

Find the locus of a point which moves in such a way that the sum of its distances from the points (a, 0, 0) and (a, 0, 0) is constant.

The locus of a point which moves such that the difference of its distances from the points (5, 0) and (-5, 0) is 6 units is a conic, whose length of the latus rectum (in units) is equal to

Find the locus of a point such that the sum of its distances from the points (0,2)a n d(0,-2) is 6.