1
TG EAPCET 2025 (Online) 4th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

If $Z=r(\cos \theta+i \sin \theta),\left(\theta \neq-\frac{\pi}{2}\right)$ is solution of $x^3=i$, then $r^9(\cos \theta+i \sin \theta)^9=x^{3-}=i$

A

$\frac{\sqrt{3}}{2}+\frac{1}{2} i$

B

1

C

$-i$

D

$\frac{-\sqrt{3}}{2}+\frac{1}{2}$

2
TG EAPCET 2025 (Online) 4th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

If $\omega \neq 1$ is a cube root of unity, then one root among the 7th roots of $(1+\omega)$ is

A

$1+\omega$

B

$1-\omega$

C

$\omega-\omega^2$

D

$\frac{\omega}{\omega-\omega^2}$

3
TG EAPCET 2025 (Online) 4th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

If $1+2 i$ is a root of the equation $x^4-3 x^3+8 x^2-7 x+5=0$, then sum of the squares of the other roots is

A

0

B

$2+i$

C

$-4-4 i$

D

$8 / 3$

4
TG EAPCET 2025 (Online) 4th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

$$ \left(\frac{1+i}{1-i}\right)^{228}= $$

A

$-4\left(\frac{1-i}{1+i}\right)^{226}$

B

$4\left(\frac{1-i}{1+i}\right)^{226}$

C

$\left(\frac{1-i}{1+i}\right)^{228}$

D

$-\left(\frac{1-i}{1+i}\right)^{228}$

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