1
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

$2 \sqrt{10}$

2
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

$x \in(2,4]$

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

The area of smaller part between the circle $x^2+y^2=4$ and the line $x=1$ is _________ sq.units.

A

$\frac{4 \pi}{3}-\sqrt{3}$

B

$\frac{8 \pi}{3}-\sqrt{3}$

C

$\frac{4 \pi}{3}+\sqrt{3}$

D

$\frac{5 \pi}{3}+\sqrt{3}$

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

If the function $f(x)=\left\{\begin{array}{cl}\frac{\cos a x-\cos b x}{\cos c x-\cos b x} & , \text { if } x \neq 0 \\ -1 & , \text { if } x=0\end{array}\right.$ is continuous at $x=0$, then $\mathrm{a}^2, \mathrm{~b}^2, \mathrm{c}^2$ are in

A

Geometric progression

B

Arithmetic progression

C

Harmonic progression

D

Arithmetico-Geometric progression

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