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

If `f(x)=x^2+2bx+2c^2 and g(x)=-x^2-2cx+b^2` such that `min f(x) > maxg(x),` then the relation between `a and c` is (1) Non real value of `b and c` (2) `0 < c b sqr2` (3) `|c| < |b| sqrt2` (4) `|c| > |b| sqrt2`

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