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 moving point which moves in such a way that the difference of its distance from the points (5,0) and (-5,0) is always 5 unit.

Find the equation to the locus of a point which moves such that the sum of the squares of its distances from the points A(1, 0) and B(-1, 0) is 10.

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.

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 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.

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

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