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JEE Main 2024 · MathsMultiple choiceSingle correctEasyMulti-step

JEE Main 29 January 2024, Shift 1, Maths Q5

Question 5 of 90 in this shift, Maths question 5 of 30, Section A.

Let

A=\begin{bmatrix}1&0&0\\0&\alpha&\beta\\0&\beta&\alpha\end{bmatrix}

and

|2A|^3=2^{21}

where

\alpha,\beta\in\mathbb{Z}

, Then a value of

\alpha

is

(1) $3$
(2) $5$ Official answer
(3) $9$
(4) $17$

Official answer

Option 2

NTA final key.

Chapter: Determinants
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.