1
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}$
2
MHT CET 2024 4th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $y=A \cos \mathrm{n} x+\mathrm{B} \sin \mathrm{nx}$, then $\frac{\mathrm{d}^2 y}{\mathrm{~d} x^2}=$

A
$-\mathrm{n}^2 y$
B
$\mathrm{n}^2 y$
C
$\mathrm{n}^2 x$
D
$ \mathrm{n}^2 x^2$
3
MHT CET 2024 4th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

A man and his wife appear for an interview for two posts. The probability of the husband's selection is $\frac{1}{7}$ and that of the wife's selection is $\frac{1}{5}$. If they appear for the interview independently, then the probability that only one of them is selected, is

A
$\frac{1}{7}$
B
$\frac{2}{7}$
C
$\frac{6}{7}$
D
$\frac{4}{7}$
4
MHT CET 2024 4th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

The expected value of the sum of the two numbers obtained on the uppermost faces, when two fair dice are rolled, is

A
7
B
12
C
6
D
5
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