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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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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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Solution: Let us assume the line divides AB in k : 1 ratio.

Coordinates of point of division can be given as follows:

10 coordinate exercise solution

Substituting the values of x and y in following equation;

10 coordinate exercise solution

Hence, the ratio is 2 : 9.

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