Find the values of x, y if the distances of the point (x, y) from (-3, 0) as well as from (3, 0) are 4.

Find the value of a when the distance between the points (3, a) and (4, 1) is .

If the points (2, 1) and (1,-2) are equidistant from the point (x, y), show that x + 3y = 0.

The length of a line segment is of 10 units and the coordinates of one end-point are (2,-3). If the abscissa of the other end is 10, find the ordinate of the other end.

Show that the points A(- 4, -1), B(-2, - 4), C(4, 0) and D(2, 3) are the vertices points of a rectangle.