If \[f(x)={{x}^{2}}+2bx+2{{c}^{2}}\]and \[g(x)=-{{x}^{2}}-2cx+{{b}^{2}}\] such that min \[f(x)>\] max \[g(x)\], then the relation between b and c is [IIT Screening 2003]

If \[f(x)={{x}^{2}}+2bx+2{{c}^{2}}\]and \[g(x)=-{{x}^{2}}-2cx+{{b}^{2}

1.	If \[f(x)={{x}^{2}}+2bx+2{{c}^{2}}\]and \[g(x)=-{{x}^{2}}-2cx+{{b}^{2}}\] such that min \[f(x)>\] max \[g(x)\], then the relation between b and c is [IIT Screening 2003]
A.	No real value of b and c
B.	\[0<c<b\sqrt{2}\]
C.	\[\|c\|<\,\|b\|\sqrt{2}\]
D.	\[\|c\|\,>\,\|b\|\sqrt{2}\]
Answer» E.

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If \[f(x)={{x}^{2}}+2bx+2{{c}^{2}}\]and \[g(x)=-{{x}^{2}}-2cx+{{b}^{2}}\] such that min \[f(x)>\] max \[g(x)\], then the relation between b and c is [IIT Screening 2003]

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