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  4. If Z=a+i b, then modulus of Z, denoted by ...A.. is defined to be non-negative real number ...B... . Here, A and B refer to

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Q. If $Z=a+i b$, then modulus of $Z$, denoted by ...A.. is defined to be non-negative real number ...B... . Here, A and B refer to

Complex Numbers and Quadratic Equations

Solution:

Let $z=a+i b$ be a complex number. Then, modulus of $z$, denoted by $|z|$, is defined to be non-negative real number $\sqrt{a^2+b^2}$ i.e., $|z|=\sqrt{a^2+b^2}$.