# 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. - Mathematics

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)

Concept: Section Formula
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