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 )