The sum of all possible | Determinants | JEE MAIN 2026

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JEE MAIN 2026

06-04-2026 S2

Question

The sum of all possible values of $\theta \in[0,2 \pi]$, 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:

Select the correct option:

A

$\pi$

B

$2 \pi$

C

$3 \pi$

D

$4 \pi$

✓ Correct! Well done.

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