1
AP EAPCET 2025 - 23rd May Morning Shift
MCQ (Single Correct Answer)
+1
-0

If the sum of two roots of the equation $x^4+2 x^3-7 x^2-8 x+12=0$ is zero, then the sum of the squares of the other two roots is

A

5

B

10

C

13

D

25

2
AP EAPCET 2025 - 22nd May Evening Shift
MCQ (Single Correct Answer)
+1
-0

$f(x)$ is a quadratic polynomial satisfying the condition $f(x)+f\left(\frac{1}{x}\right)=f(x) f\left(\frac{1}{x}\right)$. If $f(-1)=0$, then the range of $f$ is

A

$[1, \infty)$

B

$[-1,1]$

C

$(-\infty, 1]$

D

$R$

3
AP EAPCET 2025 - 22nd May Evening Shift
MCQ (Single Correct Answer)
+1
-0

If $\alpha \neq 0$ and zero are the roots of the equation $x^2-5 k x+\left(6 k^2-2 k\right)=0$, then $\alpha=$

A

$\frac{1}{3}$

B

1

C

$\frac{5}{3}$

D

5

4
AP EAPCET 2025 - 22nd May Evening Shift
MCQ (Single Correct Answer)
+1
-0

The set of all real values of $x$ satisfying the inequation $\frac{8 x^2-14 x-9}{3 x^2-7 x-6}>2$ is

A

$(-\infty, 1) \cup(3, \infty)$

B

$\left(-\infty,-\frac{2}{3}\right) \cup(2, \infty)$

C

$\left(-\frac{2}{3}, 2\right)$

D

$\left(-\infty,-\frac{2}{3}\right) \cup(3, \infty)$

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