7. The coordinates of the point P dividing the line segment joining the points A( 1 , 3) and B( 4 , 6) in the ratio 2 : 1 are
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A(1,3) and B(4,6)
Ratio 2:1
section formula:
x=m1x2+m2x1÷ m1+ m2
y=m1y2+ m2y1÷ m1+m2
putting the values of
m1=2,m2=1
x= 2×4+ 1×1÷ 2+1
= 8+1÷3
= 9÷3
=3
y= 2×6+1×3÷1+2
= 12+3÷3
=15÷3
=5
hence,coordinates of the point dividing the line segment is(3,5)
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