1
MHT CET 2024 16th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

Let $\mathrm{z}=x+\mathrm{i} y$ be a complex number, where $x$ and $y$ are integers and $i=\sqrt{-1}$. Then the area of the rectangle whose vertices are the roots of the equation $\overline{z z}^3+\overline{\mathrm{zz}}^3=350$ is

A
48
B
32
C
40
D
80
2
MHT CET 2024 16th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

If $\int \frac{\log \left(t+\sqrt{1+t^2}\right)}{\sqrt{1+t^2}} d t=\frac{1}{2}(g(t))^2+c$ where c is a constant of integration, then $\mathrm{g}(2)$ is equal to

A
$2 \log (2+\sqrt{5})$
B
$\log (2+\sqrt{5})$
C
$\frac{1}{\sqrt{5}} \log (2+\sqrt{5})$
D
$\frac{1}{2} \log (2+\sqrt{5})$
3
MHT CET 2024 16th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

A box contains 15 green and 10 yellow balls. If 10 balls are randomly drawn, one by one, with replacement, then the variance of the number of green balls drawn is

A
$6$
B
$4$
C
$\frac{6}{25}$
D
$\frac{12}{5}$
4
MHT CET 2024 16th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

The materials having negative magnetic susceptibility are

A
both paramagnetic and ferromagnetic.
B
paramagnetic.
C
diamagnetic.
D
ferromagnetic.
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