Points p, Q, R and S divide the segment joining the points A (1, 2) and B (6, 7) in 5 equal parts. Find the coordinates of the points P, Q and R.

Here given points are A (1, 2) and B (6, 7) which is divided into 5 equal parts by points P, Q, R and S


AP = PQ= QR = RS = SB



The point P divides the line segment AB in the ratio 1:4.


By section formula,


x = , y =


For point P,


x = , y =


x = 2 and y = 3


Coordinate of P is (2 ,3 )


The point Q divides the line segment AB in the ratio of 2:3.


For point Q,


x = , y =


x = 3 and y = 4


Coordinate of Q is (3 ,4 )


The point R divides the line segment AB in the ratio of 3:2.


For point R,


x = , y =


x = 4 and y = 5


Coordinate of R is (4 , 5 )


50