In what ratio does the point p(1/2,6) divided the line segments joining the points a(3,5) and b(-7,9)?
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that's very easy...try to solve it by ua self using section formula...
(1/2,6) = [m×(-7)+n×3/m+n m×9+n×5/m+n]
RHS
[ -7m+3n/m+n 9m+5n]
take lhs now
1/2=-7m+3n/m+n
m+n= 2(-7m+3n)
m+n=-14m+6n
m+14m=6N-N
15M=5N
M/N=5/15
M/N=1/3
that's it...
hope it helps!
(1/2,6) = [m×(-7)+n×3/m+n m×9+n×5/m+n]
RHS
[ -7m+3n/m+n 9m+5n]
take lhs now
1/2=-7m+3n/m+n
m+n= 2(-7m+3n)
m+n=-14m+6n
m+14m=6N-N
15M=5N
M/N=5/15
M/N=1/3
that's it...
hope it helps!
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