Determinants

CBSE Class 12 · Mathematics · 30 past questions

8 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. Q2 2026

   One of the values of $x$ for which $\begin{vmatrix} \cos x & \sin x \\ -\cos x & \sin x \end{vmatrix} = 1$ is

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3. Q3 2026

   If $A = \begin{bmatrix} 0 & 2 & 1 \\ -2 & -1 & -2 \\ 1 & -1 & 0 \end{bmatrix}$, find $A^{-1}$ and use it to…

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4. Q4 2026

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

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5. Q5 2026

   If $\begin{vmatrix}-1 & -2 & 5\\ -2 & a & -1\\ 0 & 4 & 2a\end{vmatrix}$ = –86, then the sum of all possible…

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6. Q6 2026

   If $A^2 = 4A + 3I$ and $A^{-1} = xA + yI$, then the value of $(x + y)$ is…

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7. Q7 2026

   If…

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8. Q8 2026

   On the inauguration day of a new showroom, a lucky draw was organized and some vouchers of ₹ 1,000 and ₹ 500… (with a figure)

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