The point p(3,b)divides line A(1,2)and B(4,5)in ratio 2:1 from A,then find the value of b.
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Since, the point P divides the line joining the points A (1, 2) and
B (4, 5) into the ratio , then the co-ordinates of the P be
( (1×1 + 4×2)/(2+1), (2×1 + 5×2)/(2+1) )
$ i.e., ( (1 + 8)/3, (2 + 10)/3 ) $
$ i.e., ( 9/3, 12/3 ) $
$ i.e., (3, 4) $
By the given condition,
$ (3, b) $ Ξ $ (3, 4) $
Comparing both sides, we get
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