the line segment joining the points A(3,2)B(5,1)is divided at the point P in the ratio 1:2 and P lies on the line 3x-18y+k=0.find the value of K

Asked by science field | 18th Jan, 2014, 10:10: PM

Expert Answer:

Using section formula, the coordinates of the point P are:
(5+6/3, 1+4/3)=(11/3, 5/3)
 
It is given that point P lies on the line 3x – 18y + k = 0
So, we get:
3(11/3) – 18(5/3) + k = 0
11 – 30 + k = 0
k – 19 = 0
k = 19

Answered by  | 18th Jan, 2014, 11:58: PM

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