Comprehension

निर्देश : निम्नलिखित प्रश्नों के लिए निम्नलिखित पर विचार करें :  

मान लीजिये Z 1 और Z 2 कोई दो सम्मिश्र संख्याएँ इस प्रकार हैं कि \(\rm Z_1^2+Z_2^2+Z_1Z_2=0\)

\(\rm \left|\frac{Z_1}{Z_2}\right|\) का मान क्या है?

This question was previously asked in
NDA-II 2024 (Maths) Official Paper (Held On: 01 Sept, 2024)
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Answer (Detailed Solution Below)

Option 1 : 1
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व्याख्या:

\(\rm Z_1^2+Z_2^2+Z_1Z_2=0\)

⇒ Z 1 = ω और Z 2 = ω 2

अब

\(|\frac{Z_1}{Z_2}| =| \frac{\omega }{(\omega)^2}| =|\frac{1}{\omega}| = 1\)

विकल्प (a) सही है।

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