PYQs Based Test - 25 : Residue Theorem and Solution Integral

Topics Covered

Sample Questions from this Test

1. The integral $\oint f\left(z\right)dz$ evaluated around the unit circle on the complex plane for $f\left(z\right)=\frac{\cos z}{z}$ is
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2. For $\mathrm{f}\left(\mathrm{z}\right)=\frac{\sin \left(\mathrm{z}\right)}{{\mathrm{z}}^2}$ the residue of the pole at z = 0 is __________
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3. Let z = x + iy be a complex variable. Consider that contour integration is performed along the unit circle in anticlockwise direction. Which one of the following statements is Not True?
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Test Instructions

• The test contains 10 questions and a total of 16 marks.
• You will have 180 minutes to complete the test. The timer cannot be paused once started.
• Negative marking: 0.25 mark(s) deducted per wrong answer.
• Use the question palette to mark questions for review and navigate freely.
• Detailed solutions and analytics are available immediately after submission.
• This is a free practice test. No login required to attempt.