The coordinates of the point which divides the join of (–1, 4) and (2, –3) in the ratio 2 : 3 is
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let the coordinates be p(-1,4),q(2,-3).
Also the ratio be 2:3
here x1=_1 ,y1=4
x2=2 ,y2=-3
m1=2 ,m2=3
By section formula.
coordinates of point of division. =m1x2+m2y1÷m1+m2 ,m1y2+m2y1÷m1+m2
=2×2+3×4÷2+3 ,2×-3+3×4÷2+3
=4+12÷5 ,-6+12÷5
=16÷5 ,6÷5
=16/5 ,6/5
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