का मापांक (मॉड्यूलस) क्या है?

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NDA 01/2022: Maths Previous Year paper (Held On 10 April 2022)
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  1. 1
  2. 2200

Answer (Detailed Solution Below)

Option 3 : 1
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प्रयुक्त सूत्र:

सम्मिश्र संख्या z = x + iy के लिए 

|zn| = |z|n

जहाँ, i = √-1 और

|z| = √(x+ y2)

गणना:

माना कि, z = 

This can be written as:

⇒ |z200| = 

मापांक के गुण का प्रयोग करने पर 

⇒ |z|200 = 

हम जानते हैं कि |z| = √(x+ y2)

⇒ |z|200 = 

⇒ |z|200 = 

∴ 

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