Mathematics · 2026
JEE Main · 2 April 2026, Shift 1 · Q14
If a and b are two vectors such that | a |=2 and | b |=3, then the maximum value of 3|(3 a +2 b )|+4|(3 a -2 b )| is:
If $\displaystyle \vec{a}$ and $\displaystyle \vec{b}$ are two vectors such that $\displaystyle |\vec{a}|=2$ and $\displaystyle |\vec{b}|=3$, then the maximum value of $\displaystyle 3|(3 \vec{a}+2 \vec{b})|+4|(3 \vec{a}-2 \vec{b})|$ is :
Official answer
From NTA’s final answer key for this paper.
(3)
$\displaystyle 60$
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JEE Main 2026 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.