Question:medium
The sum of all possible values of \( \theta \in [0, 2\pi] \), for which the system of equations:
\( x \cos 3\theta - 8y - 12z = 0 \)
\( x \cos 2\theta + 3y + 3z = 0 \)
\( x \sin \theta + y + 3z = 0 \)
has a non-trivial solution, is equal to:
The sum of all possible values of \( \theta \in [0, 2\pi] \), for which the system of equations:
\( x \cos 3\theta - 8y - 12z = 0 \)
\( x \cos 2\theta + 3y + 3z = 0 \)
\( x \sin \theta + y + 3z = 0 \)
has a non-trivial solution, is equal to:
\( x \cos 3\theta - 8y - 12z = 0 \)
\( x \cos 2\theta + 3y + 3z = 0 \)
\( x \sin \theta + y + 3z = 0 \)
has a non-trivial solution, is equal to:
Updated On: Apr 6, 2026
- \( \pi \)
- \( 3\pi \)
- \( 2\pi \)
- \( 4\pi \)
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The Correct Option is C
Solution and Explanation
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