If the points P, Q(x, 7), R, S(6, y) in this order divide the line segment joining A(2, p) and B (7, 10) in 5 equal parts, find x, y and p.
Here given points are A (2, p) and B ( 7, 10) which is divided into 5 equal parts by points P, Q(x, 7), R and S(6, y)
∴ AP = PQ= QR = RS = SB
By section formula,
x = 
, y = 
The point Q divides the line segment AB in the ratio of 2:3.
For point Q,
x = 
, 7 = 
Solving above equations, we get,
x = 4 and p = 5
For point P, divides the line segment AB in the ratio 4:1.
6 = 
, y = 
Solving for y and substituting value of p,
y = 
∴ y = 9
Hence, values are x = 4, y = 9 and p = 5
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