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

If $a^2+b^2+c^2=r^2$, then the value of $\tan ^{-1}\left(\frac{\mathrm{ab}}{\mathrm{cr}}\right)+\tan ^{-1}\left(\frac{\mathrm{bc}}{\mathrm{ar}}\right)+\tan ^{-1}\left(\frac{\mathrm{ca}}{\mathrm{br}}\right)=$

A
$\frac{\pi}{2}$
B
$\frac{\pi}{3}$
C
$\frac{\pi}{4}$
D
$\frac{\pi}{6}$
2
MHT CET 2025 19th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
The value of $\int_{\frac{1}{3}}^1 \frac{\left(x-x^3\right)^{\frac{1}{3}}}{x^4} d x$ is
A
0
B
2
C
4
D
6
3
MHT CET 2025 19th April Evening Shift
MCQ (Single Correct Answer)
+2
-0

The feasible region for the constraints $x-2 \leqslant y, x \geqslant y-1, x \geqslant 2, y \leqslant 4, x, y \geqslant 0$, is _________

A
MHT CET 2025 19th April Evening Shift Mathematics - Linear Programming Question 15 English Option 1
B
MHT CET 2025 19th April Evening Shift Mathematics - Linear Programming Question 15 English Option 2
C
MHT CET 2025 19th April Evening Shift Mathematics - Linear Programming Question 15 English Option 3
D
MHT CET 2025 19th April Evening Shift Mathematics - Linear Programming Question 15 English Option 4
4
MHT CET 2025 19th April Evening Shift
MCQ (Single Correct Answer)
+2
-0

A plane passes through $(2,1,2)$ and $(1,2,1)$ and parallel to the line $2 x=3 y$ and $\mathrm{z}=1$, then the plane also passes through the point

A
$\quad(-6,2,0)$
B
$(6,-2,0)$
C
$(-2,0,1)$
D
$(2,0,1)$

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