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Friday, 9 October

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JEE Main 2026 · MathsMultiple choiceSingle correctHardMulti-step

JEE Main 6 April 2026, Shift 1, Maths Q4

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

Let the set of all values of

k\in\mathbb{R}

such that the equation

z(\overline{z}+2+i)+k(2+3i)=0

,

z\in\mathbb{C}

, has at least one solution, be the interval

[\alpha,\beta]

. Then

9(\alpha+\beta)

is equal to:

(1) $-10$ Official answer
(2) $-8$
(3) $10\sqrt{13}$
(4) $8\sqrt{13}$

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