A) \[\beta \in (1,\infty )\]
B) \[\beta \in (0,1)\]
C) \[\beta \in (-1,0)\]
D) \[\left| \beta \right|=1\]
Correct Answer: A
Solution :
Let the roots of the given equation be \[1+ip\] and \[1-ip\], where \[p\in \mathbb{R}\] \[\Rightarrow \beta =\] product of roots \[=(1+ip)(1-ip)=1+{{p}^{2}}>1,\,\forall p\in \mathbb{R}\] \[\Rightarrow \beta \in (1,\infty )\]
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