1
TG EAPCET 2024 (Online) 9th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

$x$ and $y$ are two complex numbers such that $|x|=|y|=1$.

If $\arg (x)=2 \alpha, \arg (y)=3 \beta$ and $\alpha+\beta=\frac{\pi}{36}$, then $x^6 y^4+\frac{1}{x^6 y^4}=$

A
0
B
-1
C
1
D
$\frac{1}{2}$
2
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
$\frac{\sqrt{5}+1}{4}+i \frac{\sqrt{10-2 \sqrt{5}}}{4}$
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