| Find the ratio in which the line \[3x+y=9\] divides the line made by joining the points (1, 3) and (2, 7). |
A) 3 : 4 external
B) 3 : 4 internal
C) 1 : 4 internal
D) 4 : 3 internal
E) None of these
Correct Answer: E
Solution :
(e) \[\because \] y-coordinate is zero on X-axis. \[{{y}_{1}}=-\,\,3,\]\[{{y}_{2}}=2\] \[\Rightarrow \]\[y=\frac{m{{y}_{2}}+n{{y}_{1}}}{m+n}\] \[\Rightarrow \]\[0=\frac{m\,\,(2)+n\,\,(-\,\,3)}{m+n}\] \[\Rightarrow \]\[2m-3n=0\]\[\Rightarrow \]\[\frac{m}{n}=\frac{3}{2}\]
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