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.`

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

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.

Find the locus of the point such that the sum of the squares of its distances from the points (2, 4) and (-3, -1) is 30.

Find the locus of the point, the sum of whose distances from the points A(4,0,0)a n d\ B(-4,0,0) is equal to 10.

Find the locus of the point, the sum of whose distances from the points A(4,0,0)a n d\ B(-4,0,0) is equal to 10.

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.

Show that the equation of the locus of a point which moves so that the sum of its distance from two given points (k, 0) and (-k, 0) is equal to 2a is : x^2/a^2 + y^2/(a^2 - k^2) =1

find the equation of the locus of a points such that sum of its distance from (0,3) and (0,-3) is 8.

Find the equation of the set of points such that the sum of its distances from (0, 3) and (0, -3) is 8.