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JEE Main 2022 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 27 June 2022, Shift 2, Maths Q2

Question 2 of 90 in this shift, Maths question 2 of 30, Section A.

Let

f(x)=\begin{vmatrix} a & -1 & 0\\ ax & a & -1\\ ax^2 & ax & a\end{vmatrix}

,

a\in\mathbb{R}

. Then the sum of the squares of all the values of

a

, for which

2f'(10)-f'(5)+100=0

, is

(1) $117$
(2) $106$
(3) $125$ Official answer
(4) $136$

Official answer

Option 3

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