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

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

A

no real value of of b & c

B

`0 lt c lt b sqrt(2)`

C

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

D

`|c| gt b sqrt(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
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