Determinants

Bihar Board Class 12 · Mathematics · 70 past questions

13 of 70 · show all

1. Q2 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B

   $\begin{vmatrix} \cos 15^\circ & \sin 15^\circ \\ \sin 75^\circ & \cos 75^\circ \end{vmatrix} =$

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2. Q9 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B

   $\begin{vmatrix} a+ib & c+id \\ -c+id & a-ib \end{vmatrix} =$

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3. Q24 2025 Set A2025 Set E

   $\begin{vmatrix}10&4\\13&5\end{vmatrix}=$

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4. Q27 2025 Set A2025 Set E

   $5\begin{vmatrix}1&2\\3&4\end{vmatrix}=$

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5. Q38 2024 Set D2024 Set J

   $\begin{vmatrix} x & x+1 \\ x-1 & x \end{vmatrix} =$

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6. Q41 2023

   $\begin{vmatrix}-\sin\theta & \cos\theta\\ \sec\theta & \csc\theta\end{vmatrix} =$

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7. Q42 2023 Set E

   $\begin{vmatrix} -\sin\theta & \cos\theta \\ \sec\theta & \mathrm{cosec}\,\theta \end{vmatrix} =$

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8. Q50 2021 Set J2021 Set I

   $\begin{vmatrix} \cos\theta & -\sin\theta \\ \sin\theta & \cos\theta \end{vmatrix} =$

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9. Q51 2021 Set J2021 Set I

   $\begin{vmatrix}10 & 2\\ 35 & 7\end{vmatrix}=$

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10. Q54 2019 Set F

    $\begin{vmatrix}\sin20^\circ & -\cos20^\circ\\ \sin70^\circ & \cos70^\circ\end{vmatrix}=?$

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11. Q55 2019 Set F

    Evaluate $\begin{vmatrix} 1 & -1 \\ y & x \end{vmatrix}$

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12. Q66 2017

    $\begin{vmatrix} 10 & 2 \\ 35 & 7 \end{vmatrix} = \ldots\ldots\ldots\ldots\ldots$

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13. Q67 2016

    $\begin{vmatrix}1&a&a^2\\1&b&b^2\end{vmatrix}$

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