Calculus of Residues MCQ Quiz in मराठी - Objective Question with Answer for Calculus of Residues - मोफत PDF डाउनलोड करा

Last updated on Mar 18, 2025

पाईये Calculus of Residues उत्तरे आणि तपशीलवार उपायांसह एकाधिक निवड प्रश्न (MCQ क्विझ). हे मोफत डाउनलोड करा Calculus of Residues एमसीक्यू क्विझ पीडीएफ आणि बँकिंग, एसएससी, रेल्वे, यूपीएससी, स्टेट पीएससी यासारख्या तुमच्या आगामी परीक्षांची तयारी करा.

Latest Calculus of Residues MCQ Objective Questions

Top Calculus of Residues MCQ Objective Questions

Calculus of Residues Question 1:

Let \(\rm f(z)=\frac{p(z)}{q(z)}\)where p(z) & q(z) be polynomials with no common zeros, and with degree 4 & 7 respectively. Then which of the following is/are false.

  1. Res [f(z); ∞] = 4  
  2. Res [f(z); ∞] = 7
  3. Res [f(z); ∞] = 0
  4. None of these

Answer (Detailed Solution Below)

Option :

Calculus of Residues Question 1 Detailed Solution

Concept:

Let p(z) and q(z) be a polynomial with no common zero and with the degree m and n respectively then , Res [f(z),\(\infty]\) is 0 when \(n\geq m+2\) 

Explanation: 

Here degree of p(z) is 4 and degree of q(z) is 7 here 7 > 4 + 2

So Res [f(z); ∞] = 0

 Option 3 is true 

Therefore, Correct Options are Option (1), (2).

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