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Find the ratio in which the point P(m, 6) divides the join of A(-4, 3) and B(2, 8) Also, find the value of m.

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Find the ratio in which the point P(m, 6) divides the join of A(-4, 3) and B(2, 8) Also, find the value of m.

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Let the point P (m ,6) divide the line AB in the ratio k :1.

Then, by the section formula:

Therefore, the point P divides the line AB in the ratio 3 : 2 

Now, putting the value of k in the equation m(k + 1) =2k -4 we get:

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