If $z$ and$z'$ are complex numbers such that $z.z' = z$, then $z' = $
$0 + i\,0$
$1 + 0i$
$0 + i$
$1 + i$
(b)According to condition $z'$ is multiplicative identity therefore $z' = 1 + 0i$. .
If $n$ is a positive integer, then ${\left( {\frac{{1 + i}}{{1 – i}}} \right)^{4n + 1}}$=
Evaluate: $\left[i^{18}+\left(\frac{1}{i}\right)^{25}\right]^{3}$.
The real values of $x$ and $y$for which the equation is $(x + iy)$ $(2 – 3i)= 4 + i$ is satisfied, are
If $4 x+i(3 x-y)=3+i(-6),$ where $x$ and $y$ are real numbers, then find the values of $x$ and $y.$
If $i = \sqrt { – 1} $, then $1 + {i^2} + {i^3} – {i^6} + {i^8}$ is equal to
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