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If A & B are (-2,-2) and (2,-4) respectively, find the co ordinates of P such that AP =3/7 AB and P lies on the line segment AB. [Ans: (- 2/7 , - 20 /7)]
Ans : AP =3/7 AB
AP/AB = 3/7 (i.e) AP/PB = 3/4
AB = AP + PB
AP : PB = 3:4
Let P(x, y)
x = 3(2) + 4(-2)/7 = 6 - 8/7 = - 2/7
y = 3(-4) + 4(-2)/7 = - 12 - 8/7 = - 20/7
(x, y) = ( - 2/7 , - 20/7 )
1 1/3:2/3:1/6
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