Find the equation to the locus of a point which moves so that
the square of its distance from the point (0, 2) is equal to 4

Find the locus of a point which moves so that sum of the squares of its distance from the axes is equal to 3.

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.

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 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 a point such that the sum of its distance 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-12y=13 .

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