In what ratio, the line made by joining the points \[A\,\,(-\,\,4,-\,3)\]and \[B\,\,(5,2)\]intersects X-axis? |
A) \[3:2\]
B) \[2:3\]
C) \[-\,\,3:2\]
D) \[-\,\,2:3\]
Correct Answer: A
Solution :
Let C be the point on X-axis, where the line joining the points A and B intersect X-axis. |
Let the ratio be k: 1. |
Then, by section formula, |
\[x=\frac{5k-4}{k+1}\]and \[0=\frac{2k-3}{k+1}\] |
\[\Rightarrow \] \[k=\frac{3}{2}\] |
\[\therefore \]Required ratio \[=3:2\] |
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