A) \[2:7\]
B) \[7:2\]
C) \[2:5\]
D) \[5:2\]
Correct Answer: A
Solution :
[a] Let required ratio be \[m:n\] |
\[\therefore \,\,\,\,\,\,\,\,\,\,\,\,(-1,6)=\left\{ \frac{6m-3n}{m+n},\,\frac{-8m+10n}{m+n} \right\}\] |
On comparing, we get |
\[-1=\frac{6m-3n}{m+n}\] |
\[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,\,\,-m-n=6m-3n\] |
\[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,\,\,7m=2n\] |
\[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,\,\,m:n=2:7\] |
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