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Friday, 9 October

JEE Main Maths · Complex Numbers and Quadratic Equations

Polar Triangle Inequality Extrema

Polar Triangle Inequality Extrema (Complex Numbers and Quadratic Equations) was asked 4 times in 4 JEE Main shifts, 2022–2026, out of the 42 shifts Lumi analysed.

Times asked
4
in 4 shifts
Years
2022–2026
Usual format
Single correct
Multi-step
Pattern
Frequent
repeats across shifts

How it is asked

  • Max/min distance between points on circles
  • Max distance from circle given complex condition

Difficulty

Easy 0Medium 2Hard 2

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 4 questions

Newest first, each with its options and official answer.

  1. 2 Apr 2026, Shift 2 · Q2Let the circles C1:∣z∣=rC_1: |z| = r and C2:∣z−3−4i∣=5,z∈CeC_2: |z - 3 - 4i| = 5, z \in \mathbb{C}_e be such that C2C_2 lies within C1C_1. If z1z_1 moves on…MediumSingle correct
  2. 2 Apr 2025, Shift 1 · Q2Let zz be a complex number such that ∣z∣=1|z|=1. If 2+k2zk+zˉ=kz\frac{2+k^2z}{k+\bar{z}}=kz, k∈Rk\in\mathbf{R}, then the maximum distance of k+ik2k+ik^2…HardSingle correct
  3. 9 Apr 2024, Shift 2 · Q2Let zz be a complex number such that the real part of z−2iz+2i\frac{z-2i}{z+2i} is zero. Then, the maximum value of ∣z−(6+8i)∣|z-(6+8i)| is equal toMediumSingle correct
  4. 28 Jul 2022, Shift 1 · Q15Let S1={z1∈C:∣z1−3∣=12}S_1=\left\{z_1\in\mathbf{C}:|z_1-3|=\frac{1}{2}\right\} and S2={z2∈C:∣z2−∣z2+1∣∣=∣z2+∣z2−1∣∣}S_2=\{z_2\in\mathbf{C}:|z_2-|z_2+1||=|z_2+|z_2-1||\}. Then, for…HardSingle correct