यदि \( \frac{z_{1}}{z_{2}} \) एक शुद्ध काल्पनिक संख्या है, तो सिद्ध कीजिए कि \[ \left|z_{1}+z_{2...

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यदि \( \frac{z_{1}}{z_{2}} \) एक शुद्ध काल्पनिक संख्या है, तो सिद्ध कीजिए कि
\[
\left|z_{1}+z_{2}\right|^{2}=\left|z_{1}\right|^{2}+\left|z_{2}\right|^{2} \text {. }
\]
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