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1
AP EAPCET 2024 - 22th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

The set of all real values ' $a$ ' for which $-1<\frac{2 x^2+a x+2}{x^2+x+1}<3$ holds for all real values of $x$ is

A
$(-7,5)$
B
$(5, \infty)$
C
$(1,5)$
D
$(-\infty, 1)$
2
AP EAPCET 2024 - 22th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

The quotient, when $3 x^5-4 x^4+5 x^3-3 x^2+6 x-8$ is divided by $x^2+x-3$ is

A
$3 x^2-7 x-21$
B
$3 x^3-7 x^2+21 x-45$
C
$3 x^4-7 x^3+21 x^2-45+114$
D
$114 x-143$
3
AP EAPCET 2024 - 22th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
If both the roots of the equation $x^2-6 a x+2-2 a+9 a^2=0$ exceed 3 , then
A
$a<\frac{3}{2}$
B
$a>\frac{3}{2}$
C
$a<\frac{5}{2}$
D
$a>\frac{11}{9}$
4
AP EAPCET 2024 - 22th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
If $\alpha$ and $\beta$ are two distinct negative roots of $x^5-5 x^3+5 x^2-1=0$, then the equation of least degree with integer coefficients having $\sqrt{-\alpha}$ and $\sqrt{-\beta}$ as its roots, is
A
$x^2-3 x+1=0$
B
$-x^4-5 x^2+5 x+1=0$
C
$-x^4+5 x^2-5 x+1=0$
D
$x^4-3 x^2+1=0$
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