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JEE Main 2023 · MathsMultiple choiceSingle correctMediumCalculation

JEE Main 11 April 2023, Shift 2, Maths Q5

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

If

\begin{vmatrix} x+1 & x & x \\ x & x+\lambda & x \\ x & x & x+\lambda^2 \end{vmatrix} = \frac{9}{8}(103x + 81)

, then

\lambda, \frac{\lambda}{3}

are the roots of the equation

(1) $4x^2 + 24x - 27 = 0$
(2) $4x^2 - 24x - 27 = 0$
(3) $4x^2 + 24x + 27 = 0$
(4) $4x^2 - 24x + 27 = 0$ Official answer

Official answer

Option 4

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.