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1
MHT CET 2026 20th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
If $i = \sqrt{-1}$ then $\left[i^{18} + \left(\dfrac{1}{i}\right)^{25}\right]^3 =$
A
$4 + 4i$
B
$2 + 2i$
C
$4 - 4i$
D
$2 - 2i$
2
MHT CET 2026 20th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
If $w$ is a complex cube root of unity , then the value of $w^{10} - w^7 + w^5 - w^2 + 1$ is.
A
$0$
B
$-1$
C
$1$
D
$w$
3
MHT CET 2026 19th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
If $z = \sum_{n=0}^{2026} i^n$, where $i = \sqrt{-1}$, then one of the values of $\sqrt{z}$ is...
A
$e^{i\frac{\pi}{4}}$
B
$\dfrac{1}{\sqrt{2}}e^{i\frac{\pi}{4}}$
C
$e^{i\frac{\pi}{2}}$
D
$\dfrac{1}{\sqrt{2}}e^{i\frac{\pi}{2}}$
4
MHT CET 2026 19th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
Point A$(5, 12)$ rotated about the origin O in the XY-plane through an angle of $30^\circ$ in the anticlockwise direction to a new position B. The ordinate of point B is...
A
$6\sqrt{3} + \dfrac{5}{2}$
B
$\dfrac{5\sqrt{3}}{2} - 6$
C
$\dfrac{5\sqrt{3}}{2} + 6$
D
$6\sqrt{3} - \dfrac{5}{2}$
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