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Determine the ratio in which the line 2x...

Determine the ratio in which the line 2x +y – 4 = 0 divides the line segment joining the points A(2, – 2) and B(3,7).

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Let the given line 2x + y - 4 = 0 divide the line segment joining the points A(2, - 2) and B(3, 7) in a ratio k: 1 at point C.
Coordinates of the point of divison
`C (x, y) = [(3k + 2) / (k + 1), (7k - 2) / (k + 1)]`
Hence, `x = (3k + 2) / (k + 1)`, `y = (7k - 2) / (k + 1)`
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