Q25 of 47 Page 1

Find the ratio in which the point P(x,2) divides the line segment joining the points A(12,5) and B(4,-3). Also, find the value of x.


Let AP: PB = K: 1


Coordinates of P = Coordinates of P


We know that the coordinates of the point P(x, y) which divides the line segment joining the points A(x1, y1) and B(x2, y2) internally in the ratio m1: m2 are.






= 9


Now,






…(I)


Required ratio =


⇒ 3/5: 1


⇒ 3: 5


Ans. The required ratio is 3: 5.


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