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Friday, 9 October

JEE Main 2025 · MathsMultiple choiceSingle correctHardMulti-step

JEE Main 7 April 2025, Shift 2, Maths Q4

Question 4 of 75 in this shift, Maths question 4 of 25, Section A.

If the locus of z∈Cz\in\mathbf{C}, such that Re(z−12z+i)+Re(zˉ−12zˉ−i)=2\mathrm{Re}\left(\frac{z-1}{2z+i}\right)+\mathrm{Re}\left(\frac{\bar z-1}{2\bar z-i}\right)=2, is a circle of radius rr and center (a,b)(a,b), then 15abr2\frac{15ab}{r^2} is equal to :
  1. (1)12
  2. (2)16
  3. (3)18Official answer
  4. (4)24

Official answer

Option 3

NTA final key.

Chapter
Complex Numbers and Quadratic Equations
Topic
No close match in our taxonomy
Idea tested
No close match in our taxonomy

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 42 of the 174 JEE Main shifts held from 2017 to 2026.