1
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

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

2
AP EAPCET 2025 - 22nd May Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $\cosh 2 x=199$, then $\cot h x=$

A

$\frac{5}{3 \sqrt{11}}$

B

$\frac{5}{6 \sqrt{11}}$

C

$\frac{7}{3 \sqrt{11}}$

D

$\frac{10}{3 \sqrt{11}}$

3
AP EAPCET 2025 - 21st May Evening Shift
MCQ (Single Correct Answer)
+1
-0

If $a=\operatorname{Im}\left(\frac{1+z^2}{2 i z}\right)$ and $z$ is any non-zero complex number such that $|z|=1$, then $a=$

A

$\operatorname{Re}(z)$

B

$\operatorname{Re}(z) \operatorname{Im}(z)$

C

$-\operatorname{Re}(z)$

D

$\operatorname{Re}(z)+\operatorname{Im}(z)$

4
AP EAPCET 2025 - 21st May Evening Shift
MCQ (Single Correct Answer)
+1
-0

If $(3+4 i)^{2025}=5^{2023}(x+i y)$, then $\sqrt{x^2+y^2}=$

A

5

B

25

C

125

D

625

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