A) \[a>b>c\]
B) \[a<b<c\]
C) \[a>b\]and\[b<c\]
D) \[a<b\]and\[b>c\]
Correct Answer: A
Solution :
We have,\[{{r}_{1}}>{{r}_{2}}>{{r}_{3}}\] \[\Rightarrow \] \[\frac{\Delta }{s-a}>\frac{\Delta }{s-b}>\frac{\Delta }{s-c}\] \[\Rightarrow \] \[\frac{s-a}{\Delta }<\frac{s-b}{\Delta }<\frac{s-c}{\Delta }\] \[\Rightarrow \] \[s-a<s-b<s-c\] \[\Rightarrow \] \[-a<-b<-c\Rightarrow \,\,a>b>c\]
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