1
MHT CET 2025 20th April Morning Shift
MCQ (Single Correct Answer)
+2
-0

The money invested in a company is compounded continuously. ₹ 400 invested today becomes ₹ 800 in 6 years, then at the end of 33 years, it will become .. $(\sqrt{2}=1.4142)$

A
9050.88
B
18101.76
C
6788.16
D
12067.84
2
MHT CET 2025 20th April Morning Shift
MCQ (Single Correct Answer)
+2
-0

If $\overline{\mathrm{a}}$ and $\overline{\mathrm{b}}$ are unit vectors and $\theta$ is the angle between them, then $\overline{\mathrm{a}}+\overline{\mathrm{b}}$ is a unit vector when $\theta$ is

A
$\frac{\pi}{3}$
B
$\frac{2 \pi}{3}$
C
$\frac{\pi}{2}$
D
$\frac{\pi}{4}$
3
MHT CET 2025 20th April Morning Shift
MCQ (Single Correct Answer)
+2
-0

A regular polygon has 20 sides. The number of triangles that can be drawn by using the vertices but not using the sides are

A
1140
B
800
C
340
D
20
4
MHT CET 2025 20th April Morning Shift
MCQ (Single Correct Answer)
+2
-0

$$ \int \frac{d x}{2+\cos x}= $$

A

$2 \tan ^{-1}\left(\frac{1}{\sqrt{3}} \tan \frac{x}{2}\right)+c$, where $c$ is the constant of integration

B

$\frac{2}{\sqrt{3}} \tan ^{-1}\left(\frac{1}{\sqrt{3}} \tan \frac{x}{2}\right)+c$, where $c$ is the constant of integration

C

$\frac{1}{\sqrt{3}} \tan ^{-1}\left(\frac{1}{\sqrt{3}} \tan \frac{x}{2}\right)+\mathrm{c}$, where c is the constant of integration

D

$\sqrt{3} \tan ^{-1}\left(\frac{1}{\sqrt{3}} \tan \frac{x}{2}\right)+c$, where $c$ is the constant of integration

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