Question

find the coordinates of a point P on the line segment joining A(1,1) and B(6,7) in such a way that AP =2/5 AB​

Answer 1

The Answer is write here

Answer 2

Answer:

Consider the problem

AP= 2/5AB

⇒5AP=2(AP+PB)

⇒5AP=2AP+2PB

⇒3AP=2PB

⇒AP/PB =2/3

⇒AP:PB=2:3

And

p(x,y)=[{2×6+3×1 / 2+3},{2×7+3×2 / 2+3} ].....by using section formula

=(15/5,20/5)

=(3,4)

So, coordinates of point P is (3,4)

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