Contour Integral & Theorem MCQ Quiz in తెలుగు - Objective Question with Answer for Contour Integral & Theorem - ముఫ్త్ [PDF] డౌన్‌లోడ్ కరెన్

Last updated on Mar 21, 2025

పొందండి Contour Integral & Theorem సమాధానాలు మరియు వివరణాత్మక పరిష్కారాలతో బహుళ ఎంపిక ప్రశ్నలు (MCQ క్విజ్). వీటిని ఉచితంగా డౌన్‌లోడ్ చేసుకోండి Contour Integral & Theorem MCQ క్విజ్ Pdf మరియు బ్యాంకింగ్, SSC, రైల్వే, UPSC, స్టేట్ PSC వంటి మీ రాబోయే పరీక్షల కోసం సిద్ధం చేయండి.

Latest Contour Integral & Theorem MCQ Objective Questions

Top Contour Integral & Theorem MCQ Objective Questions

Contour Integral & Theorem Question 1:

The value of , where C is the circle  is

  1. 0
  2. 1
  3. πi
  4. 2πi

Answer (Detailed Solution Below)

Option 1 : 0

Contour Integral & Theorem Question 1 Detailed Solution

Explanation:

Since  has singularity at z= -1 which is outside 

Hence this function is analytic inside  and 

for analytic function f inside 

Hence  = 0

Therefore, option 1 is correct.

Contour Integral & Theorem Question 2:

The value of the integral , C:|z| = 1 is

Answer (Detailed Solution Below)

Option 2 :

Contour Integral & Theorem Question 2 Detailed Solution

​Explanation:

On the unit circle C, the complex conjugate -z is related to z as

  

  

since   

 =    

Therefore, option 2 is correct.

Contour Integral & Theorem Question 3:

Evaluate the integral (1/z)dz where C is the circle z = e^(ib) where 0

  1. -πi 
  2. 2πi 
  3. πi 
  4. 0

Answer (Detailed Solution Below)

Option 3 : πi 

Contour Integral & Theorem Question 3 Detailed Solution

Explanation:

   = ∫f(e) (e) dz

⇒  i e dz  ⇒ πi

Hence, The Correct Answer is Option 3.

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