Q14 of 184 Page 10

If the point C (-1,2) divides internally the line segment joining A (2,5) and B in the ratio 3:4. Find the coordinates of B.


Let the coordinates of B are (x, y)


It is given that the line segment divide in the ratio 3:4


So, m1 = 3 and m2 = 4


and (x’, y’) =(-1, 2); (x1, y1) = (2,5); (x2, y2) = (x, y)


Using section formula for the internal division, we get


…(i)




⇒ 3x + 8 = -7 and 3y + 20 = 14


⇒ 3x = -7 – 8 and 3y = 14 – 20


⇒ 3x = -15 and 3y = -6


⇒ x = -5 and y = -2


Hence, the coordinates of B are (-5, -2)


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