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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)`> max `g(x)` , then the relation between `b and c` is
a. No real value of b and c
b. `0ltcltbsqrt(2)`
c. `|c|lt|b|sqrt(2)`
d. `|c|gt|b|sqrt(2)`

A

No real value of b and c

B

`0ltcltbsqrt(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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