Determinants

CBSE Class 12 · Mathematics · 30 past questions

13 of 30 · show all

1. Q1 2026

   If $\Delta_1 = \begin{vmatrix} 1 & 0 & 0 \\ 0 & 2 & 0 \\ 0 & 0 & 3 \end{vmatrix}$ and…

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2. Q4 2026

   For a square matrix A, (3A)$^{-1}$ =

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3. Q9 2025

   If $A = \begin{bmatrix} -1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1 \end{bmatrix}$, then $A^{-1}$ is

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4. Q10 2025

   If A is a square matrix of order 2 such that det (A) = 4, then det (4 adj A) is equal to…

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5. Q13 2025

   If M and N are square matrices of order 3 such that det (M) = m and MN = mI, then det (N) is equal to…

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6. Q14 2025

   Let A and B be two square matrices of order 3 such that $\det(A) = 3$ and $\det(B) = -4$. Find the value of…

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7. Q15 2024

   $\begin{vmatrix} x+1 & x-1 \\ x^2+x+1 & x^2-x+1 \end{vmatrix}$ is equal to…

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8. Q19 2024

   If $A = \begin{bmatrix} 2 & 0 & 0 \\ 0 & 3 & 0 \\ 0 & 0 & 5 \end{bmatrix}$, then $A^{-1}$ is…

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9. Q23 2023

   Let A be the area of a triangle having vertices $(x_1, y_1)$, $(x_2, y_2)$ and $(x_3, y_3)$. Which of the…

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10. Q25 2023

    If $|A| = 2$, where A is a $2 \times 2$ matrix, then $|4A^{-1}|$ equals…

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11. Q26 2023

    Let A be a $3 \times 3$ matrix such that $|\text{adj } A| = 64$. Then $|A|$ is equal to…

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12. Q27 2023

    If $\begin{bmatrix} 1 & 2 & 1 \\ 2 & 3 & 1 \\ 3 & a & 1 \end{bmatrix}$ is non-singular matrix and $a \in A$…

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13. Q29 2023

    If (a, b), (c, d) and (e, f) are the vertices of $\triangle ABC$ and $\Delta$ denotes the area of…

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