Find the locus of a pont which mioves such that the sum of the of its distances from points `A(0,0-alpha) and B(0,0,alpha)` is constant.

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

Find the locus of a point which moves such that the sum of its distance from (0,3) and (0,-3) is 8 units

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 appoint which moves such that the sum of the squares of its distance from the points A(1,2,3),B(2,-3,5) and C(0,7,4) is 120

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

Find the equation of the locus of a point which moves so that the difference of its distances from the points (3, 0) and (-3, 0) is 4 units.

Find the equation to the locus of a point which moves so that the sum of its distances from (3,0) and (-3,0) is less than 9.

Find the equation of the locus of a point which moves such that the ratio of its distances from (2,0) and (1,3) is 5:4.