Determinants

Bihar Board Class 12 · Mathematics · 70 past questions

10 of 70 · show all

1. Q8 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set D2026 Set B

   $\begin{vmatrix} a-b & b-c & c-a \\ b-c & c-a & a-b \\ c-a & a-b & b-c \end{vmatrix} =$

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2. Q15 2026 Set J2026 Set F

   $\begin{vmatrix}a-b&b-c&c-a\\b-c&c-a&a-b\\c-a&a-b&b-c\end{vmatrix}=$

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3. Q36 2024 Set D

   Evaluate the determinant $\begin{vmatrix}1&1&1\\a&b&c\\a^3&b^3&c^3\end{vmatrix}$.

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4. Q37 2024 Set D2024 Set J

   Evaluate the determinant $\begin{vmatrix}1+a&1&1\\1&1+b&1\\1&1&1+c\end{vmatrix}$.

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5. Q43 2023 Set E

   Factorize the determinant…

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6. 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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7. 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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8. Q59 2018

   If a, b and c are in A.P. then $\begin{vmatrix}x+1&x+2&x+a\\x+2&x+3&x+b\\x+3&x+4&x+c\end{vmatrix}=$

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9. Q68 2016

   Evaluate $\begin{bmatrix} x & x^2 & x^3 \\ y & y^2 & y^3 \\ z & z^2 & z^3 \end{bmatrix}$

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10. Q69 2015

    $\begin{vmatrix} 1 & x & x^2 \\ 1 & y & y^2 \\ 1 & z & z^2 \end{vmatrix} =$

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