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Friday, 9 October

JEE Main Maths · Complex Numbers and Quadratic Equations

Locus of Argument Ratio (Circular Arc)

Locus of Argument Ratio (Circular Arc) (Complex Numbers and Quadratic Equations) was asked once in the 42 JEE Main shifts Lumi analysed, in 2026.

Times asked
1
in 1 shift
Years
2026
Usual format
Single correct
Multi-step
Pattern
New since 2024
asked once so far

How it is asked

  • Modulus from locus and argument conditions

Difficulty

Easy 0Medium 1Hard 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

The question

Newest first, each with its options and official answer.

  1. 4 Apr 2026, Shift 1 · Q3Let zz be a complex number such that ∣z+2∣=∣z−2∣|z+2|=|z-2| and arg⁡(z+3z−i)=π4\arg\left(\frac{z+3}{z-i}\right)=\frac{\pi}{4}. Then ∣z∣2|z|^2 is equal to:MediumSingle correct