Let Z and W be the complex numbers such that ZW=Z2 and Z−Z¯+W+W¯ =4. If W varies, then the area enclosed by locus of Z is

zw=zz¯⇒w=z¯( w is avariable)|z−z¯|+|z+z¯|=4|2y|+|zx|=4|x|+|y|=2Req area=412(2)(2)=8

Let Z and W be the complex numbers such that ZW=Z2 and Z−Z¯+W+W¯ =4. If W varies, then the area enclosed by locus of Z is

zw=zz¯⇒w=z¯( w is avariable)|z−z¯|+|z+z¯|=4|2y|+|zx|=4|x|+|y|=2Req area=412(2)(2)=8

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Let Z and W be the complex numbers such that $ZW = {|Z|}^{2}$ and $|Z - \bar{Z}| + |W + \bar{W}|$ =4. If $W$ varies, then the area enclosed by locus of Z is

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$\begin{array}{l} zw = z \bar{z} \Rightarrow w = \bar{z} (w is a variable) \\ | z - \bar{z} | + | z + \bar{z} | = 4 \\ | 2 y | + | zx | = 4 \end{array}$
$| x | + | y | = 2$
Req area
$= 4 \frac{1}{2} (2) (2)$
=8

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Let Z and W be the complex numbers such that ZW=Z2 and Z−Z¯+W+W¯ =4. If W varies, then the area enclosed by locus of Z is

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Let Z and W be the complex numbers such that $ZW = {|Z|}^{2}$ and $|Z - \bar{Z}| + |W + \bar{W}|$ =4. If $W$ varies, then the area enclosed by locus of Z is