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1
AP EAPCET 2025 - 22nd May Evening Shift
MCQ (Single Correct Answer)
+1
-0

If $x^6=(\sqrt{3}-i)^5$, then the product of all of its roots is

A

$2^5(\sqrt{3}+i)$

B

$\frac{2^6}{\sqrt{3}+i}$

C

$2^6(\sqrt{3}-i)$

D

$\frac{2^6}{\sqrt{3}-i}$

2
AP EAPCET 2025 - 22nd May Morning Shift
MCQ (Single Correct Answer)
+1
-0
The minimum value of $|z-1|+|z-5|$ is
A

3

B

5

C

4

D

2

3
AP EAPCET 2025 - 22nd May Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $z=x+i y$ and if the point $P$ in the argand diagram represents $z$, then the locus of the point $P$ satisfying the equation $2|z-2-3 i|=3|z+i-2|$ is a circle with centre

A

$(10,-21)$

B

$\left(2,-\frac{21}{5}\right)$

C

$(-10,21)$

D

$\left(-2, \frac{21}{5}\right)$

4
AP EAPCET 2025 - 22nd May Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $z$ is a non-real root of $x^7=1$, then $1+3 z+5 z^2+7 z^3+9 z^4+11 z^5+13 z^6=$

A

$\frac{14}{1-z}$

B

$\frac{-14}{1-z}$

C

$\frac{15}{1-z}$

D

$\frac{-15}{1-z}$

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