If z = x + iy, then the modulus of z, denoted by |z| , is defined by |z|

**Modulus of a Complex
Number**

Just as the absolute
value of a real number measures the distance of that number from origin along
the real number line, the modulus of a complex number measures the distance of
that number from the origin in the complex plane. Observe that the length of
the line from the origin along the radial line to *z *= *x *+ *iy *is simply the
hypotenuse of a right triangle, with one side of length *x *and the other
side of length *y *

**Definition 2.4**

If z = *x* + *iy*, then the modulus of *z*,
denoted by |z| , is defined by |z| = âˆš[x^{2} + y^{2}]

Tags : Definition, Formulas , 12th Mathematics : UNIT 2 : Complex Numbers

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12th Mathematics : UNIT 2 : Complex Numbers : Modulus of a Complex Number | Definition, Formulas

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