The line segment joining the points A(3, 2) and B(5, 1) is divided at the point P in the ratio 1:2 and it lies on the line 3x - 18y + k = 0. Find the value of k.
Given that, the line segment joining the points A (3, 2) and B (5, 1) is divided at the point p in the ratio 1:2
By using the section formula for internal ratio;
∴ Coordinates of point P = 
As given in the question;
The point P 
lies on the line 3x – 18y + 5 = 0
∴ 
→11 - 30 + k = 0
k = 19 = 0
k = 19
Hence, the value of k is 19
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