Question

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

Answer 1

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Answer 2

Answer:

Step-by-step explanation:

Given that point P divides the line segment joining the points A(3,2) and B(5,1) in the ratio 1:2 Hence the coordinates of P is given by the section formula as given below Here m:n = 1: 2,��and� Given that point P lies on the line 3x – 18y + k = 0 Put the coordinates of P in the given line ⇒ 3(11/3) – 18(5/3) + k = 0 ⇒ 11 – 30 + k = 0 ⇒� k – 19 = 0 ∴ k = 19