1
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
2
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
$15 x^2+2 x y+15 y^2+16 x-16 y-48=0$
3
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
$16 \sqrt{2} i$
4
TG EAPCET 2024 (Online) 9th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
If $\frac{(2-i) x+(1+i)}{2+i}+\frac{(1-2 i) y+(1-i)}{1+2 i}=1-2 i$, then $2 x+4 y=$
A
5
B
-2
C
1
D
-1
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