Question

The line joining the points A(4, -5) and B(4, 5) is divided by the point P such that AP/AB = 2/5. Find the coordinates of P.

Answer 1

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Given AP/AB=2/5

AP/PB=2/3

m= 2,
n=3

Let P(x,y)

x= (mx2+nx1)/(m+n)
y= (my2+ny1)/(m+n)

x=(2*4+3*4)/5 = 20/5 = 4
y= (2*5-3*5)/5 = -5/5 = -1

The co-ordinates of P(4,-1)