1
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
$w$
2
MHT CET 2025 5th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

The area of the triangle whose vertices are $i, \omega$ and $\omega^2$ is (Where $\omega$ is a complex cube root of unity other than $1, i$ is an imaginary number)__________ sq.units

A

$\frac{3 \sqrt{3}}{4}$

B

$\frac{\sqrt{3}}{2}$

C

$\frac{3 \sqrt{3}}{2}$

D

$\frac{\sqrt{3}}{4}$

3
MHT CET 2025 26th April Evening Shift
MCQ (Single Correct Answer)
+2
-0

Let z be the complex number such that $|z|+z=3+i$ where $i=\sqrt{-1}$, then $|z|=$

A

$\frac{\sqrt{34}}{3}$

B

$\frac{5}{3}$

C

$\frac{\sqrt{41}}{4}$

D

$\frac{5}{4}$

4
MHT CET 2025 26th April Morning Shift
MCQ (Single Correct Answer)
+2
-0

The modulus of the square root of the complex number $6+8 \mathrm{i}$ (where $\mathrm{i}=\sqrt{-1}$ ) is

A

$\sqrt{5}$

B

$2 \sqrt{5}$

C

$\sqrt{2} \cdot \sqrt{5}$

D

$2 \sqrt{10}$

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