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कृपया अपनी पसंदीदा भाषा चुनें
यदि $z=x+i y, x y \neq 0$, समीकरण $z^{2}+i \bar{z}=0$ को संतुष्ट करता है, तो $\left|z^{2}\right|$ किसके बराबर है :
(1) 9
(2) 1
(3) 4
(4) $\frac{1}{4}$
$z^{2}=-i \overline{z}$
$\left|z^{2}\right|=|iz|$
$\left|z^{2}\right|=|z|$
$|z|^{2}-|z|=0$
$|z|(|z|-1)=0$
$|z|=0$ (अस्वीकृत)
$\therefore|z|=1$
$\therefore|z|^{2}=1$
बीटा
