1
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
$(-\infty,-1) \cup\left(\frac{13}{7}, \infty\right)$
2
AP EAPCET 2024 - 23th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

The cubic equation whose roots are the square of the roots of the equation is

$$ 12 x^3-20 x^2+x+3=0 $$

A
$x^3+376 x^2-121 x-9=0$
B
$144 x^3-400 x^2+121 x+98=0$
C
$144 x^3-376 x^2+121 x-9=0$
D
$x^3+400 x^2-121 x-98=0$
3
AP EAPCET 2024 - 23th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
$\alpha, \beta$ and $\gamma$ are the roots of the equation $x^3+3 x^2-10 x-24=0$ If $\alpha(\beta+\gamma), \beta(\gamma+\alpha)$ and $\gamma(\alpha+\beta)$ are the roots of the equation $x^3+p x^2+q x+r=0$, then $q$ is equal to
A
-44
B
-28
C
44
D
28
4
AP EAPCET 2024 - 23th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
Among the 4 -digit numbers formed using the digits $0,1,2,3$ and 4 when repetition of digits allowed. Then, the number of numbers which are divisible by 4 is
A
140
B
160
C
180
D
200
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