If $ax^{2} + bx + c = 0$ has imaginary roots and $a - b + c > 0$, then the set of points $(x, y)$ satisfying the equation $\left |a\left (x^{2} + \dfrac {y}{a}\right ) + (b + 1) x + c\right | = |ax^{2} + bx + c| + |x + y|$ consists of the region in the xy-plane which is
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