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

The value of $\int_{-3}^3 \sin ^7 x \cos ^{16} x \mathrm{~d} x$ is

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

The coordinates of the foot of the perpendicular drawn from a point $\mathrm{P}(-1,1,2)$ to the plane $2 x-3 y+z-11=0$ are

A
$\quad(2,-2,1)$
B
$\quad(2,-3,0)$
C
$(1,-2,3)$
D
$(4,1,6)$
3
MHT CET 2025 19th April Evening Shift
MCQ (Single Correct Answer)
+2
-0

The domain of the function $\mathrm{f}(x)={ }^{7-x} \mathrm{P}_{x-1}$ is

A
R
B
$\quad x \in \mathbb{R}-\{1\}$
C
$\{1,2,3,4\}$
D
$\quad\{1,2,3,4,5,6\}$
4
MHT CET 2025 19th April Evening Shift
MCQ (Single Correct Answer)
+2
-0

$$ \int \frac{x+\sin x}{1+\cos x} d x= $$

A
$x \cos x+\mathrm{c}$, where c is the constant integration
B
$x \tan x+\mathrm{c}$, where c is the constant integration
C
$x \tan \frac{x}{2}+c$, where $c$ is the constant integration
D
$x \sec ^2 \frac{x}{2}+\mathrm{c}$, where c is the constant integration

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