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If A and B are (– 2, – 2) and (2, – 4), respectively, find the coordinates of P such that AP = 3/7AB and P lies on the line segment AB.

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If A and B are (– 2, – 2) and (2, – 4), respectively, find the coordinates of P such that AP = 3/7AB and P lies on the line segment AB.
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Answer:

image

The coordinates of point A and B are (-2,-2) and (2,-4) respectively.

Since AP = 3/7 AB

Therefore, AP:PB = 3:4

Point P divides the line segment AB in the ratio 3:4.

image

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