Question

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if a(4,-8),B(3,6) and C(5,-4) are the vertices of triangle abc d is midpoint of bc and p is a point on ad joined such that ap/pd=2,find the coordinates of p.

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Ans.(11/3,8/3)

Answer 1

As d is the mid point
Therefore By mid pt theorem
coordinates of D
{(3+5)/2}. ,{(6-4)/2}
that is 4,1

Now , Accdn to ques
AP/PD = 2
Ratio = 2:1

Now for coordinates of P we will use section formula
(2×4+4)/(2+1), (2×1-8)/(2+1)
12/3, -6/3
4,-2

Hence coordinates of p = 4,-2 .

Answer 2

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