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Saturday, 31 October

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JEE Main 2021 · MathsNumerical answerNumerical valueHardMulti-step

JEE Main 27 August 2021, Shift 2, Maths Q81

Question 81 of 90 in this shift, Maths question 21 of 30, Section B.

Let

z_1

and

z_2

be two complex numbers such that

\arg(z_1 - z_2) = \frac{\pi}{4}

and

z_1, z_2

satisfy the equation

|z - 3| = \mathrm{Re}(z)

. Then the imaginary part of

z_1 + z_2

is equal to __________.

Official answer

6

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.