1
MHT CET 2025 26th April Morning Shift
MCQ (Single Correct Answer)
+2
-0

The equation of the directrix of the parabola $y^2+4 y+4 x+2=0$ is

A

$\quad x=-1$

B

$\quad x=1$.

C

$x=\frac{-3}{2}$

D

$\quad x=\frac{3}{2}$

2
MHT CET 2025 26th April Morning Shift
MCQ (Single Correct Answer)
+2
-0

If $\mathrm{f}(x)=\sqrt{1+\cos ^2\left(x^2\right)}$, then $\mathrm{f}^{\prime}\left(\frac{\sqrt{\pi}}{2}\right)$ is

A

$\frac{\sqrt{\pi}}{6}$

B

$-\sqrt{\frac{\pi}{6}}$

C

$\frac{\pi}{\sqrt{6}}$

D

$\sqrt{\frac{\pi}{6}}$

3
MHT CET 2025 26th April Morning Shift
MCQ (Single Correct Answer)
+2
-0

The modulus of the square root of the complex number $6+8 \mathrm{i}$ (where $\mathrm{i}=\sqrt{-1}$ ) is

A

$\sqrt{5}$

B

$2 \sqrt{5}$

C

$\sqrt{2} \cdot \sqrt{5}$

D

$2 \sqrt{10}$

4
MHT CET 2025 26th April Morning Shift
MCQ (Single Correct Answer)
+2
-0

If $[x]^2-5[x]+6=0$, where [.] denotes the greatest integer function, then

A

$\quad x \in(2,4)$

B

$x \in[2,4]$

C

$\quad x \in[2,4)$

D

$x \in(2,4]$

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