1
MHT CET 2025 22nd April Evening Shift
MCQ (Single Correct Answer)
+2
-0

The correct constraints for the given feasible region are ….

MHT CET 2025 22nd April Evening Shift Mathematics - Linear Programming Question 1 English
A
$\quad y-x \geqslant 1, x+5 y \leqslant 10, x+y \geqslant 2, x, y \geqslant 0$
B
$\quad y-x \leqslant 1,2 x+5 y \leqslant 10, x+y \geqslant 1, x, y \geqslant 0$
C
$\quad y-x \geqslant 1,2 x+5 y \leqslant 10, x+y \geqslant 1, x, y \geqslant 0$
D
$\quad x-y \leqslant 1,2 x+5 y \geqslant 10, x+y \leqslant 1, x, y \geqslant 0$
2
MHT CET 2025 22nd April Evening Shift
MCQ (Single Correct Answer)
+2
-0

The circumradius of the triangle formed by the lines $x y+2 x+2 y+4=0$ and $x+y+2=0$ is

A
2 units
B
1 unit
C
$\sqrt{2}$ units
D
$\sqrt{3}$ units
3
MHT CET 2025 22nd April Evening Shift
MCQ (Single Correct Answer)
+2
-0

Derivative of $x^{\left(x^x\right)}$ is

A
$\quad x^{\left(x^x\right)}\left(x^x+1+\log x\right)$
B
$x^{\left(x^x\right)}\left(x^x+\log x\right)$
C
$x^{\left(x^x\right)}\left(x^x+x^{x-1} \log x(1+\log x)\right)$
D
$\quad x^{\left(x^x\right)}\left(x^{x-1}+x^x \log x(1+\log x)\right)$
4
MHT CET 2025 22nd April Evening Shift
MCQ (Single Correct Answer)
+2
-0

The number of solutions of $\tan ^{-1}\left(x+\frac{2}{x}\right)-\tan ^{-1}\left(\frac{4}{x}\right)-\tan ^{-1}\left(x-\frac{2}{x}\right)=0$ are

A
1
B
2
C
3
D
0
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