the line segment joining 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 fimd the value of k
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use section formula and find the coordinates of point "p"..
then ..
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
then ..
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
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