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Determine the ratio in which the point (—6, a) divides the join of A(-3, 1) and B(-8, 9). Also find the value of a.

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Let P(-6,a) divides the join of A(-3, 1) and B(-8, 9) in the ratio k:1

Then, the coordinates of P are

Hence, P divides AB in the ratio 3:2


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