Learn

Friday, 9 October

JEE Main Maths · Complex Numbers and Quadratic Equations

Purely Real and Imaginary Euler Conditions

Purely Real and Imaginary Euler Conditions (Complex Numbers and Quadratic Equations) was asked 2 times in 2 JEE Main shifts, 2023–2025, out of the 42 shifts Lumi analysed.

Times asked
2
in 2 shifts
Years
2023–2025
Usual format
Single correct
Conceptual
Pattern
Occasional
repeats across shifts

How it is asked

  • Statement i/ii on locus of complex numbers
  • Sum of angles making complex quotient imaginary

Difficulty

Easy 0Medium 2Hard 0

Where it sits

Chapter: Complex Numbers and Quadratic Equations. Topic: Complex Numbers - Polar Form, 15 questions over 7 ideas.

Other repeat ideas in this topic

Every time it came

All 2 questions

Newest first, each with its options and official answer.

  1. 7 Apr 2025, Shift 1 · Q2Among the statements (S1) : The set {z∈C−{−i}:∣z∣=1\{z \in \mathbb{C} - \{-i\} : |z| = 1 and z−iz+i\frac{z-i}{z+i} is purely real}\} contains exactly two…MediumTwo statements
  2. 8 Apr 2023, Shift 2 · Q2Let A={θ∈(0,2π):1+2isin⁡θ1−isin⁡θ is purely imaginary}A = \left\{\theta \in (0, 2\pi) : \frac{1 + 2i\sin\theta}{1 - i\sin\theta} \text{ is purely imaginary}\right\}. Then the sum of the…MediumSingle correct