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 to the locus of a point whose distance from the X-axis is double its distance from the Y-axis.

If the square of the distance between the points (5, 10) and (10, y) be 50. Find y.

Find the equation to the locus of a point which moves in a plane such that its distance from the point (1, 2) is equal to its distance from the Y-axis.

Find the equation to the locus of a point which is equidistant from the points (1, 1) and (-1, -1).

Find the distance between the points(0,0) and (36,15).

(a) Find the distance between the points (2, 3, 5) and (-1, 4, 1).

Find the equation of the line passing through the points (1,3) and (-2,-1).

What is the distance of the point (1, -2 , 3) from Z-axis ?

(b) If the distance between the points (7, 1, a) and (4, 5, 9) is 13, find a.

Find the vecto equation of the line passing through the points A (1,-1,3) and B (-2, 1, 0).