find the ratio in which the line 3x + y=9 divides the line segment joining the points (1,3)& (2,7
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Let the ratio be k:1
Now using section formula.
X=2k+1/k+1
Y=7k+3/k+1
Put X ,Y in 3x+y-9=0
Since this point (X,Y) satisfies this equation so we put it in the equation to get the value.
I:e
3(2k+1/k+1)+(7k+3/k+1)–9=0
=6k+3+7k+3–9k-9=0
=4k-3=0
K=3/4
So ratio is 3/4
So answer is 3:4
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