Find (6–²x4³)/ 3–⁴
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Given that:
A(−2,3) and B(6,7) are the end-points and point P(4,6) divide the line.
To find:
n
m
=?
Solution:
Let point P(4,6) divide the line internally in the ratio m:n.
x-coordinate of P:4=
m+n
6m+(−2n)
or, 4×(m+n)=6m−2n
or, 4m+4n=6m−2n
or, 2m=6n
or,
n
m
=
1
3
So, point P(4,6) divide the line in the ratio 3:1.
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