Question
Download Solution PDFComprehension
निर्देश : निम्नलिखित प्रश्नों के लिए निम्नलिखित पर विचार करें :
मान लीजिये Z 1 और Z 2 कोई दो सम्मिश्र संख्याएँ इस प्रकार हैं कि \(\rm Z_1^2+Z_2^2+Z_1Z_2=0\)
\(\rm \frac{1}{2}+Re\left(\frac{Z_1}{Z_2}\right)\) का मान क्या है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFव्याख्या:
\(\rm \frac{1}{2}+Re\left(\frac{Z_1}{Z_2}\right) = \frac{1}{2}+ Re (\frac{\omega }{\omega^2})\)
= \(\frac{1}{2}Re(\omega)^2\)
= \(\frac{1}{2}+ Re [ -\frac{1}{2} - \frac{\sqrt3}{2}i\)
= \(\frac{1}{2} + (-\frac{1}{2}) = 0\)
इसलिए, विकल्प (b) सही है।
Last updated on May 30, 2025
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