If f(x)=x^2+2b x+2c^2 and g(x)= -x^2-...

If `f(x)=x^2+2b x+2c^2 and g(x)= -x^2-2c x+b^2` are such that min `f(x)> m a x g(x)` , then the relation between `b and c` is

No real value of b and c

`0 lt c lt b sqrt(2) `

`|c| lt |b| sqrt(2) `

`|c| gt |b|sqrt(2)`

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