Determinants

Bihar Board Class 12 · Mathematics · 70 past questions

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1. Q1 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set D2026 Set J2026 Set B

   $\begin{vmatrix} x & 4 \\ 2 & 2x \end{vmatrix} = 0 \Rightarrow x =$

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2. Q5 2026 Set A2026 Set E2026 Set C2026 Set F2026 Set D2026 Set B

   Find the value of $x$, when $\begin{vmatrix}2x&8\\4&x\end{vmatrix}=0$.

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3. Q11 2026 Set F

   $\begin{vmatrix}x&4\\2&2x\end{vmatrix}=0 \Rightarrow x=$

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4. Q14 2026 Set J2026 Set H

   Find the value of $x$, when $\begin{vmatrix} 2x & 8 \\ 4 & x \end{vmatrix} = 0$.

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5. Q16 2025

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

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6. Q19 2025

   If $\begin{vmatrix} x+1 & 3 \\ 5 & x-1 \end{vmatrix} = 0$ then $x =$

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7. Q20 2025

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

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8. Q25 2025 Set A2025 Set E

   $\begin{vmatrix}x&15\\4&4\end{vmatrix}=0\ \Rightarrow x=$

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9. Q30 2025 Set E

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

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10. Q45 2021 Set J2021 Set I2018

    If $\omega\ne1,\ \omega^3=1$ and…

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11. Q60 2018

    If 7 and 2 are two roots of the equation $\begin{vmatrix}x&3&7\\2&x&2\\7&6&x\end{vmatrix}=0$ then the third…

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12. Q62 2018

    Find the values of x and y when $\begin{vmatrix}2&3\\y&x\end{vmatrix}$ and…

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13. Q65 2017

    If $\begin{vmatrix} x & 5 \\ 5 & x \end{vmatrix} = 0$ then $x = 0$

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