1
AP EAPCET 2025 - 26th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

By taking $\sqrt{a \pm i b}=x \pm i y, x>0$, if we get $\frac{\sqrt{21+12 \sqrt{2 i}}}{\sqrt{21-12 \sqrt{2 i}}}=a+i b$, then $\frac{b}{a}=$

A

$\frac{4 \sqrt{2}}{7}$

B

$\frac{12 \sqrt{2}}{17}$

C

$\frac{4 \sqrt{3}}{7}$

D

$\frac{12 \sqrt{3}}{17}$

2
AP EAPCET 2025 - 26th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

Two values of $(-8-8 \sqrt{3} i)^{1 / 4}$ are

A

$\sqrt{3}-i,-1-\sqrt{3 i}$

B

$\sqrt{3}+i, 1+\sqrt{3} i$

C

$-\sqrt{3}+i, \sqrt{3}+i$

D

$1-\sqrt{3} i, \sqrt{3}+i$

3
AP EAPCET 2025 - 27th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $z$ and $w$ are two non-zero complex numbers such that $|z w|=1$ and $\arg z-\arg w=\frac{\pi}{2}$, then $\bar{z} w=$

A

$i$

B

-1

C

1

D

$-i$

4
AP EAPCET 2025 - 27th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

Let $z$ satisfy $|z|=1, z=1-\bar{z}$ and $\operatorname{Im}(z)>0$

Statement $\mathbf{I} z$ is a real number

Statement II Principal argument of $z$ is $\frac{\pi}{3}$.

Then,

A

Statement I is true, Statement II is true and Statement II is a correct explanation of Statement I

B

Statement I is true, Statement II is true, but Statement II is not a correct explanation of Statement I

C

Statement I is false, Statement II is true

D

Statement I is true, Statement II is false

AP EAPCET Subjects

Browse all chapters by subject