Question

find the coordinates of a point P,which lies on the line segment joining the points A(-2,-2) and (2,-4) such that AP = 3/7AB
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Answer 1

7ap=3ab

7ap=3(ap+pb)

7ap=3ap+3pb

5ap=3pb

ap/pb=3/5

now you can easily find coordinates by section formula

Hope it helps!!