1
MHT CET 2025 23rd April Evening Shift
MCQ (Single Correct Answer)
+1
-0

A hypothetical galvanic cell is ${ }^{\ominus} \mathrm{A}_{(\mathrm{s})} \mid \stackrel{+}{\mathrm{A}}(1 \mathrm{M})\|\stackrel{+2}{\mathrm{~B}}(1 \mathrm{M})\| \stackrel{\oplus}{\mathrm{B}}_{(\mathrm{s})}$ and emf of cell is positive. What is the possible cell reaction?

A

$\quad \mathrm{A}_{(\mathrm{s})}+\stackrel{+B}{B}_{(\mathrm{aq})} \longrightarrow \stackrel{+1}{A}_{(\mathrm{aq})}+\mathrm{B}_{(\mathrm{s})}$

B

$\quad 2 \mathrm{~A}_{(\mathrm{s})}+\stackrel{+}{\mathrm{B}}_{(\mathrm{aq})} \longrightarrow 2 \stackrel{+1}{\mathrm{~A}}_{(\mathrm{aq})}^{+}+\mathrm{B}_{(\mathrm{s})}$

C

$\quad \mathrm{A}_{(\mathrm{s})}+2 \stackrel{+2 B}{(\mathrm{aq})}^{+2} \xrightarrow{+1} \mathrm{~A}_{(\mathrm{aq})}+2 \mathrm{~B}_{(\mathrm{s})}$

D

$\quad 2 \stackrel{+}{\mathrm{A}}_{(\mathrm{aq})}+\mathrm{B}_{(\mathrm{s})} \longrightarrow 2 \mathrm{~A}_{(\mathrm{s})}+\stackrel{+2}{\mathrm{~B}}_{(\mathrm{aq})}$

2
MHT CET 2025 23rd April Evening Shift
MCQ (Single Correct Answer)
+2
-0

Argument of the complex number $z=\frac{13-5 i}{4-9 i}, i=\sqrt{-1}$ is

A
$\frac{\pi}{4}$
B
$\frac{\pi}{2}$
C
$\frac{\pi}{2}$
D
$\frac{\pi}{3}$
3
MHT CET 2025 23rd April Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $\sin \theta=\frac{1}{2}\left(x+\frac{1}{x}\right)$, then $\sin 3 \theta+\frac{1}{2}\left(x^3+\frac{1}{x^3}\right)=$

A
0
B
1
C
$\frac{1}{4}$
D
2
4
MHT CET 2025 23rd April Evening Shift
MCQ (Single Correct Answer)
+2
-0

Let $\mathrm{A} \equiv(0,0), \mathrm{B}(3,0), \mathrm{C}(0,-4)$ are vertices of $\triangle A B C$, then the co-ordinates of incentre of $\triangle \mathrm{ABC}$ is

A
$\left(\frac{45}{14}, \frac{3}{14}\right)$
B
$\left(\frac{45}{14}, \frac{-3}{14}\right)$
C
$\left(\frac{3}{14}, \frac{45}{14}\right)$
D
$\left(\frac{-3}{14}, \frac{45}{14}\right)$

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