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JEE Main 2026 · Session 2 · Shift 1 · Mathematics

Question 14

If a⃗ and b⃗ are two vectors such that |a⃗| = 2 and |b⃗| = 3, then the maximum value of 3|3a⃗ + 2b⃗| + 4|3a⃗ − 2b⃗| is:

  • A. 30
  • B. 36
  • C. 60Correct answer
  • D. 72

Not yet checked by a person: transcribed from the official question paper and matched against NTA’s official answer key by the question’s own ID on , never worked out independently. Spotted a mistake? Tell us and we’ll fix it. No explanation is published here yet.

Official source

https://cdnbbsr.s3waas.gov.in/s3f8e59f4b2fe7c5705bf878bbd494ccdf/uploads/2026/04/202604092096865379.pdf

Published by NTA. Last checked against this source on . Where the two disagree, the official notice is correct — tell us and we will fix it.

Question paper, page 6.