1
MHT CET 2024 10th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

If $\mathrm{w}=\frac{-1+i \sqrt{3}}{2}$, where $\mathrm{i}=\sqrt{-1}$, then the value of $\left(3+w+3 w^2\right)^4$ is

A
16
B
$-16$
C
16w
D
16w$^2$
2
MHT CET 2024 9th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

If $Z=\frac{-2}{1+\sqrt{3} i}, i=\sqrt{-1}$, then the value of $\arg Z$ is

A
$\frac{2 \pi}{3}$
B
$\frac{\pi}{3}$
C
$-\frac{\pi}{3}$
D
$\frac{4 \pi}{3}$
3
MHT CET 2024 4th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $\left|\frac{\mathrm{z}}{1+\mathrm{i}}\right|=2$, where $\mathrm{z}=x+\mathrm{i} y, \mathrm{i}=\sqrt{-1}$ represents a circle, then centre ' $C$ ' and radius ' $r$ ' of the circle are

A
$\mathrm{C} \equiv(3,0), \mathrm{r}=4$
B
$\mathrm{C} \equiv(6,0), \mathrm{r}=2$
C
$\mathrm{C} \equiv(0,3), \mathrm{r}=8$
D
$ \mathrm{C} \equiv(0,0), \mathrm{r}=2 \sqrt{2}$
4
MHT CET 2024 4th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

Let $\left(-2-\frac{1}{3} \mathrm{i}\right)^3=\frac{x+\mathrm{i} y}{27}, \mathrm{i}=\sqrt{-1}$, where $x$ and $y$ are real numbers, then $(y-x)$ has the value

A
$-91$
B
$-85$
C
$85$
D
$91$
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