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Concept

The Complex Plane

The complex plane, like the coordinate plane, is a two-dimensional coordinate system that has two axes — the real axis and the imaginary axis, which are perpendicular to each other and intersect at the origin. The complex plane allows complex numbers to be represented graphically.

A complex number $z = a + b i$ corresponds to the point $(a, b)$ in the complex plane. From this, every real number lies on the horizontal axis and every pure imaginary number lies on the vertical axis.

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