Let \( f(x)=a x^{2}+2 b x+c, a, b, c \in \mathbf{R} \). If \( f(x) ...

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Let \( f(x)=a x^{2}+2 b x+c, a, b, c \in \mathbf{R} \).
If \( f(x) \) takes real values for real values of \( x \) and imaginary value for imaginary values of \( x \), then the - value of \( a \) is
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