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Complex Numbers Class 11
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Complex numbers are numbers that consist of two parts: a real part and an imaginary part. They are expressed in the form: z = a + bi
where: a is the real part, b is the imaginary part, and i is the imaginary unit, defined as i^2 = -1.

Examples
1. 3 + 4i: 3 is the real part, and 4i is the imaginary part.
2. 5: This is a purely real number (b = 0).
3. 7i: This is a purely imaginary number (a = 0).

Key Features
Complex numbers can be visualized on the complex plane, where the horizontal axis represents the real part and the vertical axis represents the imaginary part.
The magnitude (or modulus) of a complex number z = a + bi is given by:
|z| = √{a^2 + b^2}
The argument (angle) of z is the angle it makes with the positive real axis, measured counterclockwise.

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