A point A is at a distance √10 of units from the point (4, 3). Find the co-ordinates of point A, if its ordinate is twice its abscissa.

Let (a, 2a) = (x1, y1) and (4, 3) = (x2, y2) ⇒ Distance between the given points = For each value of a = x, we can find the corresponding value of y: - If a = 3, then y = 2a = 6 - If a = 1, then y = 2a = 2 Hence, the co-ordinates of point A are (3, 6) and (1, 2).