Determinants

Bihar Board Class 12 · Mathematics · 70 past questions

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1. Q44 2021 Set I

   Prove that $\begin{vmatrix} 23 & 11 & 12 \\ 46 & 20 & 26 \\ 65 & 45 & 20 \end{vmatrix}=0$.

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2. Q45 2021 Set J2021 Set I2018

   If $\omega\ne1,\ \omega^3=1$ and…

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3. Q46 2021 Set J2021 Set I

   The value of the determinant $\begin{vmatrix}1&2&4\\3&7&9\\4&8&16\end{vmatrix}$ is

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4. Q47 2021 Set J2021 Set I

   The value of the determinant $\begin{vmatrix}1&a&b+c\\1&b&c+a\\1&c&a+b\end{vmatrix}$ is

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5. Q48 2021 Set J2021 Set I

   The value of the determinant $\begin{vmatrix}7&11&13\\17&19&23\\29&31&37\end{vmatrix}$ is

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6. Q49 2021 Set J2021 Set I

   Factorize $\begin{vmatrix}(b+c)^2&a^2&a^2\\b^2&(c+a)^2&b^2\\c^2&c^2&(a+b)^2\end{vmatrix}$.

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7. Q50 2021 Set J2021 Set I

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

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8. Q51 2021 Set J2021 Set I

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

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9. Q52 2021 Set J

   Prove that $\begin{vmatrix}23&11&12\\46&20&26\\65&45&20\end{vmatrix}=0$.

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