Q27.Find the ratio in which the point P (x. 2) divides the line segment joining the points A{12, 5)
And B (4, -3). Also, find the value of x.
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let the required ratio be k:1
Then the coordinates of p are
by section formula
p[(4k+12/k+1) (-3k+5/k+1)
but this point is given as p(x,2).
therefore,-3k+5/k+1 =2
-3k+5 =2k+2
k=3/5
so, required ratio is 3:5
putting k=3/5 in p we get
x=[(4×3/5+12)/3/5+1
x=72/8=9
Hence x =9
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