Let S be the set of all values of … for which the system of linear equations … … … has non-trivial solution. Then … is equal to :

Option D. Since, the given system has a non trivial solution,

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Matrices and Determinants

JEE Main 2023 · 8 Apr, Evening shift · Q4628

MathematicsMedium244×since 2002Q4628

Let S be the set of all values of

\theta \in[-\pi, \pi]

for which the system of linear equations

x+y+\sqrt{3} z=0

-x+(\tan \theta) y+\sqrt{7} z=0

x+y+(\tan \theta) z=0

has non-trivial solution. Then

\frac{120}{\pi} \sum_\limits{\theta \in \mathrm{s}} \theta

is equal to :