In the given figure P(5, -3) and Q(3, y) are the points of trisection of the line segment joining A(7, -2) and B(1, -5). Then, y equals

Question

Philoid · Accepted Answer

From the given diagram, we come to know

⇒ AP = PQ = QB

⇒ Therefore the point P divides the line internally in the ratio 1:2 and Q divides the line in the ratio 2: 1

⇒ Then by section formula the y-coordinate of point Q which divide the line AB is given as

⇒

⇒ y = -12/3

⇒ y = -4

Therefore the value of y is -4.