1
CBSE 12th Mathematics Delhi Set 1 - 2024
MCQ (Single Correct Answer)
+1
-0

If inverse of matrix $\left[\begin{array}{ccc}7 & -3 & -3 \\ -1 & 1 & 0 \\ -1 & 0 & 1\end{array}\right]$ is the matrix $\left[\begin{array}{lll}1 & 3 & 3 \\ 1 & \lambda & 3 \\ 1 & 3 & 4\end{array}\right]$ then value of $\lambda$ is

A
$-$4
B
1
C
3
D
4
2
CBSE 12th Mathematics Delhi Set 1 - 2024
MCQ (Single Correct Answer)
+1
-0

If $\left[\begin{array}{lll}x & 2 & 0\end{array}\right]\left[\begin{array}{c}5 \\ -1 \\ x\end{array}\right]=\left[\begin{array}{ll}3 & 1\end{array}\right]\left[\begin{array}{c}-2 \\ x\end{array}\right]$, then value of $x$ is

A
$-$1
B
0
C
1
D
2
3
CBSE 12th Mathematics Delhi Set 1 - 2024
MCQ (Single Correct Answer)
+1
-0

Find the matrix $\mathrm{A}^2$, where $A=\left[a_{i j}\right]$ is a $2 \times 2$ matrix whose elements are given by $a_{i j}=$ maximum $(i, j)-$ minimum $(i, j)$

A
$\left[\begin{array}{ll}0 & 0 \\ 0 & 0\end{array}\right]$
B
$\left[\begin{array}{ll}0 & 1 \\ 1 & 0\end{array}\right]$
C
$\left[\begin{array}{ll}1 & 0 \\ 0 & 1\end{array}\right]$
D
$\left[\begin{array}{ll}1 & 1 \\ 1 & 1\end{array}\right]$
4
CBSE 12th Mathematics Delhi Set 1 - 2024
MCQ (Single Correct Answer)
+1
-0

If $x e^y=1$, then the value of $\frac{d y}{d x}$ at $x=1$ is

A
$-1$
B
$1$
C
$-e$
D
$-\frac{1}{e}$
EXAM MAP
Medical
NEETAIIMS
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
Staff Selection Commission
SSC CGL Tier I
CBSE
Class 12