1
MHT CET 2025 19th April Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $A=\left[\begin{array}{rr}1 & 2 \\ -1 & 4\end{array}\right]$ and $A^{-1}=\alpha I+\beta A \alpha, \beta \in R$ where I is the identity matrix of order 2 , then $4(\alpha+\beta)=$

A
$\frac{8}{3}$
B
$\frac{2}{3}$
C
$\frac{10}{3}$
D
$\frac{1}{3}$
2
MHT CET 2025 19th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
Which of the following are pairs of equivalent circuitsMHT CET 2025 19th April Evening Shift Mathematics - Mathematical Reasoning Question 29 English
A
(A) and (B)
B
(B) and (D)
C
(C) and (E)
D
(A) and (C)
3
MHT CET 2025 19th April Evening Shift
MCQ (Single Correct Answer)
+2
-0

The solution of $\frac{\mathrm{d} y}{\mathrm{~d} x}=(x+y)^2$ is

A
$\tan ^{-1}(x+y)=x+\mathrm{c}$, where c is the constant of integration
B
$x+y=\tan x+\mathrm{c}$, where c is the constant of integration
C
$x+y=\cot ^{-1} x+\mathrm{c}$, where c is the constant of integration
D
$x+y=\sin ^{-1}(x+y)+\mathrm{c}$, where c is the constant of integration
4
MHT CET 2025 19th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
The equation of the plane passing through the line of intersection of the planes $x+y+z=1$ and $3 x+4 y+5 z=2$ and perpendicular to the XY- plane is
A
$2 x+y-3=0$
B
$x-2 y+3=0$
C
$x-3 y-2=0$
D
$2 x-y+6=0$

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