Mathematics

Problem

f(x) = x^2 + 2bx + 2c^2

and

g(x) = -x^2 - 2cx + b^2

, such that

\min f(x) > \max g(x)

, then the relation between

b

and

c

, is a. No real value of

b

and

c

0 < c < b\sqrt{2}

|c| < |b|/\sqrt{2}

|c| > |b|/\sqrt{2}