1
MHT CET 2026 16th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
Inverse of $\begin{bmatrix} 3 & -2 \\ 1 & 4 \end{bmatrix}$ is
A
$\begin{bmatrix} \dfrac{2}{7} & \dfrac{1}{7} \\ -\dfrac{1}{14} & \dfrac{3}{14} \end{bmatrix}$
B
$\begin{bmatrix} \dfrac{3}{14} & -\dfrac{1}{7} \\ \dfrac{1}{14} & \dfrac{2}{7} \end{bmatrix}$
C
$\begin{bmatrix} \dfrac{2}{7} & -\dfrac{1}{7} \\ \dfrac{1}{14} & \dfrac{3}{14} \end{bmatrix}$
D
$\begin{bmatrix} -\dfrac{3}{14} & \dfrac{1}{7} \\ \dfrac{1}{14} & \dfrac{2}{7} \end{bmatrix}$
2
MHT CET 2026 16th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
If $A = \begin{bmatrix} 5a & -b \\ 3 & 2 \end{bmatrix}$ and $A\,(\text{adj }A) = AA^T$, Then $5a + b =$
A
$2$
B
$3$
C
$5$
D
$\dfrac{15}{2}$
3
MHT CET 2026 15th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
If $A = \begin{bmatrix} 3 & 1 \\ -1 & 2 \end{bmatrix}$, $C = \begin{bmatrix} 7 & 3 \\ 0 & 6 \end{bmatrix}$ and $AB = C$, then the inverse of matrix B is
A
$\dfrac{1}{42}\begin{bmatrix} 3 & 0 \\ -1 & 2 \end{bmatrix}$
B
$\dfrac{1}{6}\begin{bmatrix} 3 & 0 \\ -1 & 2 \end{bmatrix}$
C
$\dfrac{1}{42}\begin{bmatrix} 6 & 3 \\ -1 & 2 \end{bmatrix}$
D
$\dfrac{1}{6}\begin{bmatrix} 7 & 3 \\ -1 & 3 \end{bmatrix}$
4
MHT CET 2026 15th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
The element in the third row and the second column in the inverse matrix of a matrix $\begin{bmatrix} 1 & 3 & 3 \\ 3 & 1 & 3 \\ 3 & 3 & 4 \end{bmatrix}$ is
A
$\dfrac{3}{2}$
B
$\dfrac{2}{3}$
C
$\dfrac{-3}{2}$
D
$\dfrac{-2}{3}$

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