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

If `f(x)=x^(2)+2bx+2c^(2)and g(x)=-x^(2)-2cx+b^(2),` such that `minf(x)gtmaxg(x),` then the relation between b and c, is

A

no relation

B

`0 lt c lt b//2`

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:

D

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