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

Explanation

Let the co-ordinates of P is` (x,y)` which divides the line `AB`

`AP = 3/7 AB given`

`:. PB= AB – AP`

`:. PB = AB – 3/7 AB`

`:. PB = 4/7 AB`


`AP : PB = 3/7 AB : 4/7 AB`

`:. AP : PB =3:4`

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