1
TG EAPCET 2024 (Online) 10th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
The roots of the equation $x^{3}-3 x^{2}+3 x+7=0$ are $\alpha, \beta, \lambda$ and $\omega, \omega^{2}$ are complex cube roots of unity, If the terms containing $x^{2}$ and $x$ are missing in the transformed equation when each one of these roots is decreased by $h$, then $\frac{\alpha-h}{\beta-h}+\frac{\beta-h}{\gamma-h}+\frac{\gamma-h}{\alpha-h}=$
A
$\frac{3}{\omega^{2}}$
B
$3 \omega$
C
0
D
$3 \omega^{2}$
2
TG EAPCET 2024 (Online) 10th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
If $x$ and $y$ are two positive real numbers such that $x+i y=\frac{13 \sqrt{-5+12 i}}{(2-3 i)(3+2 i)}$, then $13 y-26 x=$
A
28
B
39
C
42
D
54
3
TG EAPCET 2024 (Online) 10th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
If $z=x+i y$ and if the point $P$ represents $z$ in the argand plane, then the locus of $z$ satisfying the equation $|z-1|+|z+i|=2$ is
A
$15 x^2-2 x y+15 y^2-16 x+16 y-48=0$
B
$3 x^2+2 x y+3 y^2-4 x-4 y=0$
C
$3 x^2-2 x y+3 y^2-4 x+4 y=0$
D
$15 x^2+2 x y+15 y^2+16 x-16 y-48=0$
4
TG EAPCET 2024 (Online) 10th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
One of the values of $(-64 i)^{5 / 6}$ is
A
$32 i$
B
$16 \sqrt{2}(1+i)$
C
$32(1+i)$
D
$16 \sqrt{2} i$
TS EAMCET Subjects
EXAM MAP