GATE Engineering Mathematics: Complex Analysis – Previous Year Questions
12 GATE previous year questions on Complex Analysis (Engineering Mathematics, Electronics and Communication Engineering) with answers and explanations, from every paper.
- GATE 2015 EC Q14 – Let z = x + iy be a complex variable. Consider that contour integration is performed along the unit circle in anticlockwise direction. Which one of…
- GATE 2016 EC Q38 – In the following integral, the contour C encloses the points 2 j and -2 j. -12 C z(z - 2 j)3 \, dz The value of the integral is
- GATE 2018 EC Q61 – The contour C given below is on the complex plane z=x+jy, where j=-1. The value of the integral 1 j Cdzz2-1 is .
- GATE 2019 EC Q11 – Which one of the following functions is analytic over the entire complex plane?
- GATE 2019 EC Q26 – The value of the contour integral 12 j(z+1z)2dz evaluated over the unit circle z =1 is .
- GATE 2021 EC Q36 – Consider the integral C(x)x2(x2+4)\,dx where C is a counter-clockwise oriented circle defined as x-i =2. The value of the integral is
- GATE 2022 EC Q32 – A simple closed path C in the complex plane is shown in the figure. If C2zz2-1\,dz=-i A, where i=-1, then the value of A is (rounded off to two…
- GATE 2023 EC Q13 – Let w4=16j. Which of the following cannot be a value of w?
- GATE 2023 EC Q14 – The value of the contour integral C(z+2z2+2z+2)dz, where the contour C is \z: z+1-32j =1\, taken in the counter clockwise direction, is
- GATE 2024 EC Q43 – Let z be a complex variable. If f(z)=( z)z2(z-2) and C is the circle in the complex plane with z =3 then Cf(z)\,dz is .
- GATE 2025 EC Q52 – Which of the following statements involving contour integrals (evaluated counter-clockwise) on the unit circle C in the complex plane is/are TRUE?
- GATE 2026 EC Q36 – Consider the two series, S A and S B, where S A= n=1n22n and S B=1+12+18+116+164+1128+1512+. Which of the following statements is correct for the two…