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JEE Main 2022 · MathsNumerical answerNumerical valueHardMulti-step

JEE Main 24 June 2022, Shift 2, Maths Q21

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

Let

S = \{z \in \mathbb{C} : |z - 3| \leq 1

and

z(4+3i) + \bar{z}(4-3i) \leq 24\}

. If

\alpha + i\beta

is the point in

S

which is closest to

4i

, then

25(\alpha + \beta)

is equal to ____.

Official answer

80

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.