1
TG EAPCET 2025 (Online) 3rd May Morning Shift
MCQ (Single Correct Answer)
+1
-0

If the equations $x^2+p x+2=0$ and $x^2+x+2 p=0$ have a common root, then the sum of the roots of the equation $x^2+2 p x+8=0$ is

A

-3

B

3

C

6

D

-6

2
TG EAPCET 2025 (Online) 3rd May Morning Shift
MCQ (Single Correct Answer)
+1
-0

If both roots of the equation $x^2-5 a x+6 a=0$ exceed 1 , then the range of ' $a$ ' is

A

$[-1,0) \cup\left[\frac{24}{25}, \infty\right)$

B

$\left[\frac{24}{25}, \infty\right)$

C

$[-1,0)$

D

$R$

3
TG EAPCET 2025 (Online) 3rd May Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $\alpha, \beta, \gamma$ and $\delta$ are the roots of the equation $x^4-4 x^3+3 x^2+2 x-2=0$ such that $\alpha$ and $\beta$ are integers and $\gamma, \delta$ are irrational numbers, then $\alpha+2 \beta+\gamma^2+\delta^2=$

A

5

B

7

C

11

D

13

4
TG EAPCET 2025 (Online) 3rd May Morning Shift
MCQ (Single Correct Answer)
+1
-0

The equation having the multiple root of the equation $x^4+4 x^3-16 x-16=0$ as its roots is

A

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

B

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

C

$x^2+x-2=0$

D

$x^2-4 x+3=0$

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