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Chapter: 12th Mathematics : UNIT 2 : Complex Numbers

Modulus of a Complex Number

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


 

Definition 2.4

If z = x + iy, then the modulus of z, denoted by |z| , is defined by |z| = √[x2 + y2]


 


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12th Mathematics : UNIT 2 : Complex Numbers


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