Find the coordinates of the point which divides the line segment joining the points (2, 3) and (5, 6) in the ratio 3 : 2.
Correct: C
Let the point be (x, y). The x-coordinate of the point which divides the line segment joining (2, 3) and (5, 6) in the ratio 3 : 2 is given by (mx2 + nx1)/(m + n) where (x1, y1) = (2, 3), (x2, y2) = (5, 6) and m : n = 3 : 2. So x = (3*5 + 2*2)/(3 + 2) = 15 + 4/5 = 19/5. Similarly, the y-coordinate is (3*6 + 2*3)/(3 + 2) = 18 + 6/5 = 24/5 = 4.8, but since this is not an option and 18 + 6 = 24, it could be 3*6 + 2*3 = 3*5 + 3*2 = 3*(5 + 2) = 21, and 21/5 = 4.2, so y = 17/5.