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Saturday, 31 October

JEE Main 2022 · MathsMultiple choiceSingle correctHardMulti-step

JEE Main 27 July 2022, Shift 1, Maths Q3

Question 3 of 90 in this shift, Maths question 3 of 30, Section A.

Let the minimum value v0v_0 of v=∣z∣2+∣z−3∣2+∣z−6i∣2v = |z|^2 + |z-3|^2 + |z-6i|^2, z∈Cz \in \mathbb{C} is attained at z=z0z = z_0. Then ∣2z02−zˉ03+3∣2+v02\left|2z_0^2 - \bar{z}_0^3 + 3\right|^2 + v_0^2 is equal to
  1. (1)1000Official answer
  2. (2)1024
  3. (3)1105
  4. (4)1196

Official answer

Option 1

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 108 of the 174 JEE Main shifts held from 2017 to 2026.