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Friday, 9 October

JEE Main 2023 · MathsMultiple choiceTwo statementsMediumConceptual

JEE Main 11 April 2023, Shift 1, Maths Q12

Question 12 of 90 in this shift, Maths question 12 of 30, Section A.

For any vector a⃗=a1i^+a2j^+a3k^\vec{a} = a_1\hat{i} + a_2\hat{j} + a_3\hat{k}, with 10∣ai∣<1, i=1,2,310|a_i| < 1,\ i = 1, 2, 3, consider the following statements : (A) : max⁡{∣a1∣,∣a2∣,∣a3∣}≤∣a⃗∣\max\{|a_1|, |a_2|, |a_3|\} \le |\vec{a}| (B) : ∣a⃗∣≤3max⁡{∣a1∣,∣a2∣,∣a3∣}|\vec{a}| \le 3\max\{|a_1|, |a_2|, |a_3|\}
  1. (1)Only (A) is true
  2. (2)Only (B) is true
  3. (3)Both (A) and (B) are trueOfficial answer
  4. (4)Neither (A) nor (B) is true

Official answer

Option 3

NTA final key.

Chapter
Vector Algebra
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.