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

For all real $x$, the vectors $C x \hat{i}-6 \hat{j}-3 \hat{k}$ and $x \hat{\mathrm{i}}+2 \hat{\mathrm{j}}+2 \mathrm{C} x \hat{\mathrm{k}}$ make an obtuse angle with each other, then the value of C can be in

A
$(0,1)$
B
$\left(-2, \frac{-4}{3}\right)$
C
$\left(\frac{-4}{3}, 0\right)$
D
$\left(0, \frac{4}{3}\right)$
2
MHT CET 2024 2nd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

If $A=\left[\begin{array}{cc}3 & -1 \\ -4 & 2\end{array}\right]$, then $A^{-1}$ is

A
$\left[\begin{array}{cc}1 & -\frac{1}{2} \\ 2 & \frac{3}{2}\end{array}\right]$
B
$\left[\begin{array}{cc}1 & \frac{1}{2} \\ -2 & \frac{3}{2}\end{array}\right]$
C
$\left[\begin{array}{cc}1 & -\frac{1}{2} \\ -2 & \frac{3}{2}\end{array}\right]$
D
$\left[\begin{array}{ll}1 & \frac{1}{2} \\ 2 & \frac{3}{2}\end{array}\right]$
3
MHT CET 2024 2nd May Morning Shift
MCQ (Single Correct Answer)
+1
-0

In semiconductors at room temperature,

A
the valence band is completely filled.
B
the conduction band is completely empty.
C
the conduction band is partially filled and the valence band is partially empty.
D
the valence band is completely filled and conduction band is partially empty.
4
MHT CET 2024 2nd May Morning Shift
MCQ (Single Correct Answer)
+1
-0

A particle at rest starts moving with a constant angular acceleration of $4 \mathrm{~rad} / \mathrm{s}^2$ in a circular path. The time at which magnitudes of its centripetal acceleration and tangential acceleration will be equal, is (in second)

A
$\frac{1}{4}$
B
$\frac{1}{3}$
C
$\frac{1}{2}$
D
$\frac{2}{3}$
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