का मापांक क्या है, जहाँ  है?

  1. 2√5 
  2. 4
  3. 3
  4. 2

Answer (Detailed Solution Below)

Option 4 : 2
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Agniveer Navy SSR Full Test - 01
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Detailed Solution

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संकल्पना:

माना कि z = x + iy एक सम्मिश्र संख्या है, जहाँ x को सम्मिश्र संख्या या Re (z) का वास्तविक भाग कहा जाता है और y को सम्मिश्र संख्या या Im (z) का काल्पनिक भाग कहा जाता है। 

z का मापांक = |z| = 

गणना:

माना कि 

   

चूँकि हम जानते हैं i2 = -1

चूँकि हम जानते हैं कि यदि z = x + iy एक सम्मिश्र संख्या है, तो इसके मापांक को |z| =  द्वारा ज्ञात किया गया है। 

∴ |z| = 

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