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Question
Find the coordinates of a point P on the line segment joining A(1, 2) and B(6, 7) such that AP =(2/5)AB.
Solution
`AP=2/5 AB`
`"AP"/"AB"=2/5`
`"AP"/"PB"=2/3`
P divides AB in the ratio of 2 : 3 internally
`((6xx2+1xx3)/(2+3),(7xx2+2xx3)/(2+3))`
`=(15/5,20/5)`
`=(3,4)`
Co-ordinates of P(3, 4)
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