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If f(x) =x^2+2bx+2c^2, g(x)=-x^2-2cx+b^2...

If f(x) =`x^2+2bx+2c^2, g(x)=-x^2-2cx+b^2`, such that min `f(x)gytmaxg(x)`,then

A

no real b and c

B

`0ltcltbsqrt2`

C

`abscgtsqrt2absb`

D

`absclt2absb`

Text Solution

Verified by Experts

The correct Answer is:
C
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