1
AP EAPCET 2024 - 23th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
If the roots of the equation $z^3+i z^2+2 i=0$ are the vertices of a $\triangle A B C$, then that $\triangle A B C$ is
A
a right angled triangle
B
an equilateral triangle
C
an isosceles triangle
D
a right angled isosceles triangle
2
AP EAPCET 2024 - 23th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

$(r, \theta)$ denotes $r(\cos \theta+i \sin \theta)$. If $x=(1, \alpha), y=(1, \beta), z=(1, \gamma)$ and $x+y+z=0$, then $\Sigma \cos (2 \alpha-\beta-\gamma)$ is equal to

A
3
B
0
C
1
D
-1
3
AP EAPCET 2024 - 23th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
The set of all real values of $x$ satisfying the inequality $\frac{7 x^2-5 x-18}{2 x^2+x-6}<2$ is
A
$\left(-\infty,-\frac{2}{3}\right] \cup[3, \infty)$
B
$\left(-2,-\frac{2}{3}\right) \cup\left(\frac{3}{2}, 3\right)$
C
$(-\infty,-2) \cup\left(\frac{3}{2}, \infty\right)$
D
$\left[-\frac{2}{3}, \frac{3}{2}\right)$
4
AP EAPCET 2024 - 23th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
The set of all values of $k$ for which the inequality $x^2-(3 k+1) x+4 k^2+3 k-3>0$ is true for all real values of $x$, is
A
$\left(-\frac{13}{7}, 1\right)$
B
$\left(-1, \frac{13}{7}\right)$
C
$\left(-\infty,-\frac{13}{7}\right) \cup(1, \infty)$
D
$(-\infty,-1) \cup\left(\frac{13}{7}, \infty\right)$
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