If the co-ordinates of points A and B are (– 2, – 2) and (2, – 4) respectively, find the co-ordinates of P
such that AP = 3
7
AB, where P lies on the line segment AB.
Answers
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P (-2/7,-20/7) is the coordinates of P
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Answer:
*(-2/7,-20/7)
Step-by-step explanation:
AP/AB = 3/7 ⇒ AP/PB= 3/4
m = 3 n = 4
Let P be ( x,y )
X = mx2 + nx1/ m +n
x = 3 ( 2) + 4(-2)/ 3+4
x = 6 -8/7= -2/7
y = my2 + ny1 / m+n
y = 3 (-4) + 4(-2)/ 3+4
y = -12 -8/7= -20/7.
∴ The coordinates of P are (-2/7,-20/7)
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