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Q. Let graph of $f(x)=a x^{2}+b x+c$ is as shown in figure.
image
$\left|\frac{b^{2}}{4 a}\right|-|c|$ is

Complex Numbers and Quadratic Equations

Solution:

$\left|\frac{b^{2}}{4 a}\right|-|c|=-\frac{b^{2}}{4 a}+c=\frac{-\left[b^{2}-4 a c\right]}{4 a}>0$