Mathematics · 2026
JEE Main · 6 April 2026, Shift 2 · Q4
The sum of all possible values of θ ∈[0,2 π], for which the system of equations: x cos 3 θ-8 y-12 z=0; x cos 2 θ+3 y+3 z=0; x+y+3 z=0 has a…
The sum of all possible values of $\displaystyle \theta \in[0,2 \pi]$, for which the system of equations :
$$\begin{aligned}
& x \cos 3 \theta-8 y-12 z=0 \\
& x \cos 2 \theta+3 y+3 z=0 \\
& x+y+3 z=0
\end{aligned}
$$
has a non-trivial solution, is equal to :
Official answer
From NTA’s final answer key for this paper.
(4)
$\displaystyle 4 \pi$
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JEE Main 2026 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.