Find the co-ordinate of the point P on the line segment joining points A(1,2) and B(6,7) such that AP=2/5 of AB.
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Ratio = 2/5.
Therefore,
m1=2
m2=5
x coordinate of P
=(m1*x2 + m2*x1)/(m1+m2)
=(2*2+5*1)/(2+5)
=9/7.
y coordinate of P
=(m1*y2 + m2*y1)/(m1+m2)
=(2*7 + 5*6)/(2+5)
=44/7
Therefore,
p=(9/7,44/7)
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