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Find the ratio in which the point (2, y) divides the line segment joining the points A (-2,2) and B ( 3, 7). Also, find the value of y.

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Let the point P(2,y) divide the line segment joining the points A(-2,2) and B(3,7) in the ratio K:1

Then, the coordinates of P are

But the coordinates of P are given as (2,y)

Putting the value of k, we get

Hence the ratio is 4 : 1 and y=6.

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