| In what ratio, the line made by joining the Point \[A\,(-\,\,4,-\,\,3)\]and \[B\,(5,2)\]intersects X-axis? |
A) \[3:2\]
B) \[3:3\]
C) \[-\,\,3:2\]
D) \[-\,\,2:3\]
E) None of these
Correct Answer: A
Solution :
| We know that y-coordinate is zero at X-axis. |
| Given, \[{{y}_{1}}=-\,\,3,\]\[{{y}_{2}}=2\] |
| \[\therefore \]\[y=\frac{m{{y}_{2}}+n{{y}_{1}}}{m+n}\]\[\Rightarrow \]\[0=\frac{m\,\,(2)+n\,\,(-\,3)}{m+n}\] |
| \[2m-3n=0\]\[\Rightarrow \]\[\frac{m}{n}=\frac{3}{2}\] |
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