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

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

A

no real value of b and c

B

`|c| gt |b| sqrt2`

C

`|c|lt |b| sqrt2`

D

`0 lt c lt sqrt2`

Text Solution

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The correct Answer is:
B
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