Mathematics · 2021
JEE Main · 31 August 2021, Shift 2 · Q64
If α+β+γ=2 π, then the system of equations x+( cos γ) y+( cos β) z=0; ( cos γ) x+y+( cos α) z=0; ( cos β) x+( cos α) y+z=0 has:
If $\displaystyle \alpha+\beta+\gamma=2 \pi$, then the system of equations
$$\begin{aligned}
& x+(\cos \gamma) y+(\cos \beta) z=0 \\
& (\cos \gamma) x+y+(\cos \alpha) z=0 \\
& (\cos \beta) x+(\cos \alpha) y+z=0
\end{aligned}
$$
has :
Official answer
(1)
infinitely many solutions
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.