Determinants

CBSE Class 12 · Mathematics · 30 past questions

9 of 30 · show all

1. Q22 2023

   If $A \cdot (\operatorname{adj} A) = \begin{bmatrix} 3 & 0 & 0 \\ 0 & 3 & 0 \\ 0 & 0 & 3 \end{bmatrix}$, then…

   Try it →
2. 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…

   Try it →
3. Q24 2023

   If for a square matrix A, $A^2 - 3A + I = O$ and $A^{-1} = xA + yI$, then the value of $x + y$ is…

   Try it →
4. Q25 2023

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

   Try it →
5. Q26 2023

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

   Try it →
6. Q27 2023

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

   Try it →
7. Q28 2023

   If $|A| = |kA|$, where A is a square matrix of order 2, then sum of all possible values of k is

   Try it →
8. Q29 2023

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

   Try it →
9. Q30 2023

   If $A=\begin{bmatrix}-3&-2&-4\\2&1&2\\2&1&3\end{bmatrix}$…

   Try it →