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Find the ratio in which the pint (-3, k) divide the join of A(-5, -4) and B(-2, 3),Also, find the value of k.

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Find the ratio in which the pint (-3, k) divide the join of A(-5, -4) and B(-2, 3),Also, find the value of k.

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Let the point P(-3, k) divide the line AB in the ratio s : 1

Then, by the section formula:

Therefore, the point P divides the line AB in the ratio 2 : 1. 

Now, putting the value of s in the equation k(s+1) = 3s-4 we get:

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