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Mathematics · 2026

JEE Main · 23 January 2026, Shift 1 · Q5

Among the statements: I: If |1, cos α, cos β; cos α, 1, cos γ; cos β, cos γ, 1| = |0, cos α, cos β; cos α, 0, cos γ; cos β, cos γ, 0|, then cos^2 α+…

Among the statements : I: If $\displaystyle \left|\begin{array}{ccc}1 & \cos \alpha & \cos \beta \\ \cos \alpha & 1 & \cos \gamma \\ \cos \beta & \cos \gamma & 1\end{array}\right|=\left|\begin{array}{ccc}0 & \cos \alpha & \cos \beta \\ \cos \alpha & 0 & \cos \gamma \\ \cos \beta & \cos \gamma & 0\end{array}\right|$, then $\displaystyle \cos ^2 \alpha+\cos ^2 \beta+\cos ^2 \gamma=\frac{3}{2}$, and II : If $\displaystyle \left|\begin{array}{ccc}x^2+x & x+1 & x-2 \\ 2 x^2+3 x-1 & 3 x & 3 x-3 \\ x^2+2 x+3 & 2 x-1 & 2 x-1\end{array}\right|=\mathrm{p} x+\mathrm{q}$, then $\displaystyle \mathrm{p}^2=196 \mathrm{q}^2$,
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JEE Main 2026 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.