The GATE Grind

GATE Engineering Mathematics: Complex Variables: Complex numbers and polar form – Previous Year Questions

5 GATE previous year questions on Complex Variables: Complex numbers and polar form (Engineering Mathematics, Chemical Engineering) with answers and explanations, from every paper.

  1. GATE 2022 CH Q11 (1 mark, Multiple choice) – The value of (1 + i)12, where i = -1, is
  2. GATE 2023 CH Q13 (1 mark, Multiple choice) – Given that F = z 1 + z 2 z 1 + z 2 , where z 1 = 2 + 3i and z 2 = -2 + 3i with i = -1, which one of the following options is CORRECT?
  3. GATE 2024 CH Q13 (1 mark, Multiple choice) – If z 1 = -1 + i and z 2 = 2i, where i = -1, then Arg(z 1/z 2) is
  4. GATE 2025 CH Q13 (1 mark, Multiple choice) – Consider two complex numbers z 1 = 1 - i and z 2 = i. The argument of z 1 z 2 is
  5. GATE 2026 CH Q40 (2 marks, Multiple choice) – Consider the following complex numbers z 1 = r 1( 1 + i 1) z 2 = r 2( 2 + i 2) where r 1, r 2 are real numbers, 0 1 2, 0 2 2, and i = -1. If z 1 + z 2…