A) \[1:1\]
B) \[1:2\]
C) \[2:1\]
D) None of these
Correct Answer: A
Solution :
[a] Let required ratio be \[m & :n\] |
\[\therefore \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,P\equiv \left\{ \frac{m(-4)+n(1)}{m+n},\frac{m(5)+n(-5)}{m+n} \right\}\] |
\[=\left( \frac{-4m+n}{m+n},\frac{5m-5n}{m+n} \right)\] |
Since, that point lies on X-axis |
\[\therefore \,\,\,\,\,\,\,\,\,\,\,\,\,\frac{5m-5n}{m+n}=0\] |
\[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,\,\,5m-5n=0\] |
\[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,\,\,m:n=1:1\] |
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