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Friday, 9 October

JEE Main 2021 · MathsMultiple choiceSingle correctMediumCalculation

JEE Main 3 August 2021, Shift 2, Maths Q63

Question 63 of 90 in this shift, Maths question 3 of 30, Section A.

Let A=(aij)A = (a_{ij}) be a 3×33\times3 matrix, where aij=7max⁡{i,j}a_{ij} = 7^{\max\{i,j\}}. Then det⁡A\det A is equal to
  1. (1)767^6
  2. (2)6⋅766\cdot7^6
  3. (3)62⋅766^2\cdot7^6Official answer
  4. (4)63⋅766^3\cdot7^6

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