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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

A

No real value of b and c

B

`0 lt c lt bsqrt2`

C

`|c| lt |b| sqrt2`

D

`|c| gt |b| sqrt2`

Text Solution

Verified by Experts

The correct Answer is:
D
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