12. A point P divides the line segment joining of A(5, –2) and B(9, 6) in the ratio 3 : 1. The coordinates of P are
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(8,4)
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A(5,-2) B(9,6)
ratio => 3:1
therefore
m1=3 and m2=1
sector formula
{ (m1x2+m2x1)/m1+m2 } ; { (m1y2+m2y1)/m1+m2 }
applying that formula
x coordinate : (27+5)/3+1 => 32/4 =>8
y coordinate; (-2+18)/3+1 => 16/4 => 4
therefore p is located at 8;4
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