1
TG EAPCET 2024 (Online) 9th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
One of the roots of the equation $x^{14}+x^9-x^5-1=0$ is
A
$\frac{1+\sqrt{3} i}{2}$
B
$\frac{\sqrt{5}-1}{4}+i \frac{\sqrt{10-2 \sqrt{5}}}{4}$
C
$\frac{1-\sqrt{3} i}{2}$
D
$\frac{\sqrt{5}+1}{4}+i \frac{\sqrt{10-2 \sqrt{5}}}{4}$
2
TS EAMCET 2023 (Online) 12th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

$\operatorname{Arg}\left(\sin \frac{6 \pi}{5}+i\left(1+\cos \frac{6 \pi}{5}\right)\right)=$

A
$\frac{5 \pi}{6}$
B
$\frac{6 \pi}{5}$
C
$\frac{2 \pi}{5}$
D
$\frac{9 \pi}{10}$
3
TS EAMCET 2023 (Online) 12th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

$$ \text { If } x+i y=\sqrt{\frac{3+i}{1+3 i}}, \text { then }\left(x^2+y^2\right)^2= $$

A
0
B
1
C
2
D
3
4
TS EAMCET 2023 (Online) 12th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

If the imaginary part of $\frac{2 z+1}{i z+1}$ is -2, then the locus of the point representing $z$ in the Argand plane is

A
a circle
B
a straight line
C
a parabola
D
an ellipse
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