$(z + a)(\bar z + a)$, where $a$ is real, is equivalent to
$(z + a)(\bar z + a)$, where $a$ is real, is equivalent to
- A
$|z - a|$
- B
${z^2} + {a^2}$
- C
$|z + a{|^2}$
- D
None of these
Similar Questions
If $\alpha$ and $\beta$ are different complex numbers with $|\beta|=1,$ then find $\left|\frac{\beta-\alpha}{1-\bar{\alpha} \beta}\right|$
If $\alpha$ and $\beta$ are different complex numbers with $|\beta|=1,$ then find $\left|\frac{\beta-\alpha}{1-\bar{\alpha} \beta}\right|$
If $z =2+3 i$, then $z ^{5}+(\overline{ z })^{5}$ is equal to.
If $z =2+3 i$, then $z ^{5}+(\overline{ z })^{5}$ is equal to.
- [JEE MAIN 2022]
If $Arg(z)$ denotes principal argument of a complex number $z$, then the value of expression $Arg\left( { - i{e^{i\frac{\pi }{9}}}.{z^2}} \right) + 2Arg\left( {2i{e^{-i\frac{\pi }{{18}}}}.\overline z } \right)$ is
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The maximum value of $|z|$ where z satisfies the condition $\left| {z + \frac{2}{z}} \right| = 2$ is
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