Mathematics Lines Sectional Formula

If the line \(2x+y=k\) passes through the point which divides the line segment joining the points \((1, 1)\) and \((2, 4)\) in the ratio \(3 : 2\), then \(k\) equals:

1
\(\dfrac{29}{5}\)
2
\(5\)
3
\(6\)
4
\(\dfrac{11}{5}\)

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