का मान क्या है, जहाँ C, |z - i| = 1 की सीमा है?

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  1. 2πi
  2. 4πi
  3. 0
  4. πi

Answer (Detailed Solution Below)

Option 3 : 0

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वर्णन:

दिया गया है,

समकाल  है, जहाँ C, |z - i| = 1 है। 

अब, बिंदु विशिष्टता के लिए Z+ 6 = 0 लेने पर 

इसलिए विशिष्टता की बिंदु a = ± √6i है। 

|z-i| = 1 के लिए हमारे पास निम्न है,

त्रिज्या r = 1, केंद्र c = (0,1),

a = ± √6i वृत्त के बाहर है,

कौची के समाकल सूत्र से हमारे पास निम्न है,

 = 0

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