1
MHT CET 2025 21st April Evening Shift
MCQ (Single Correct Answer)
+2
-0

Let A be a non-singular matrix of order n and $|A|=k$, then $(\operatorname{adj} A)^{-1}$ is

A
$\frac{\mathrm{A}}{\mathrm{k}}$
B
$\quad \mathrm{k}^{\mathrm{n}-1}(\operatorname{adj} \mathrm{~A})$
C
$\mathrm{k}^{n-2} \mathrm{~A}$
D
kA
2
MHT CET 2025 21st April Evening Shift
MCQ (Single Correct Answer)
+2
-0

The distance between the lines represented by $16 x^2+9 y^2+48 x-24 x y-36 y+35=0$ is ......... units

A
$\frac{2}{5}$
B
$\frac{35}{2}$
C
$\frac{5}{2}$
D
$\frac{7}{5}$
3
MHT CET 2025 21st April Morning Shift
MCQ (Single Correct Answer)
+2
-0

The third element in the second row of adjoint of a matrix $A=\left[a_{i j}\right]_{3 \times 3}$ (where $a_{i j}=2 i+j$ ) is

A
2
B
-2
C
4
D
-4
4
MHT CET 2025 20th April Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $\left[\begin{array}{lll}1 & 3 & 3 \\ 1 & 4 & 4 \\ 1 & 3 & 4\end{array}\right]\left[\begin{array}{l}x \\ y \\ z\end{array}\right]=\left[\begin{array}{l}12 \\ 15 \\ 13\end{array}\right]$, then the value of $x^2+y^2+z^2=$

A
6
B
12
C
3
D
14
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