Geometric Questions Answers

Coordinate geometry - Quant/Math - CAT 2008

Question 4 the day: July 15, 2003

The question for the day is from the topic of Coordinate geometry.

Find the coordinates of the point which divides the line joining (5, -2) and (9, 6) internally in the ratio 1 : 3.

(1)	(6, 0)			(2)	(6, 3)
(3)	(0, 6)			(4)	(3, 6)

Correct Answer - (1)

---

Solution:


The coordinates of the point which divides the join of (5, -2) and (9, 6) internally in the ratio 1 : 3 are

   x  =  ( m1x2 + m2x1 )  /  ( m1 +m2 )  =  1(9) + 3(5)  /  1 + 3  =  24/4  =  6,

   y =  (m1y2 + m2y1)  /  (m1 +m2)  =  1(6) +3(-2 )  /  (1+2)  =  0/3 =  0

Thus the coordinates of the required point are (6, 0).