Determinants

Bihar Board Class 12 · Mathematics · 70 past questions

7 of 70 · show all

1. Q16 2025

   If $\begin{vmatrix} 2 & x \\ x & 8 \end{vmatrix} = \begin{vmatrix} 10 & 7 \\ 30 & 21 \end{vmatrix}$, then…

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2. Q18 2025

   $\begin{vmatrix} -1 & 3 & 0 \\ 1 & 2 & 4 \\ 4 & 1 & 0 \end{vmatrix} =$

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3. Q20 2025

   Solve: $\begin{vmatrix}x^2-x+1 & x-1\\x+1 & x+1\end{vmatrix} = 2$

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4. Q23 2025 Set A2025 Set E

   $\begin{vmatrix}21&11&10\\25&15&10\\64&27&37\end{vmatrix}=$

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5. Q28 2025 Set E

   Prove that $\begin{vmatrix} 23 & 12 & 11 \\ 36 & 10 & 26 \\ 63 & 26 & 37 \end{vmatrix} = 0$.

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6. Q29 2025 Set E2019 Set F

   Evaluate the determinant $\begin{vmatrix} 4 & 9 & 7 \\ 3 & 5 & 7 \\ 5 & 4 & 5 \end{vmatrix}$.

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7. Q30 2025 Set E

   If $\begin{vmatrix} x & 5 \\ x & x \end{vmatrix}=24$, then find the value of $x$.

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