5. Points P, Q, R and S divide the line segment joining the points A(1, 2)
and B(6, 7) in five equal parts. Find the coordinates of the points P, Q
and R.
ICBSE 20141
Answers
Given : P, Q, R and S divide the line segment joining the points A(1, 2)
and B(6, 7) in five equal parts.
To Find :the coordinates of the points P, Q and R.
Solution:
P, Q, R and S divide the line segment joining the points A(1, 2)
and B(6, 7) in five equal parts.
=> AP = PQ = QR = RS = SB
AP + PQ + QR + RS + SB = AB
=> AP : PB = 1 : 4
P divides points A(1, 2) and B(6, 7) in 1: 4 ratio
=> P = ( 1 * 6 + 4 * 1)/(1 + 4) , ( 1 * 7 + 4 * 2)/(1 + 4)
= (2 , 3)
Similarly Q divided AB in 2 : 3 ratio
R Divided AB in 3 : 2 ration
P = (2,3)
Q = ( 3 , 4)
R = ( 4 , 5)
S = ( 5 , 6)
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