1
TS EAMCET 2022 (Online) 19th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

Let $x$ be a real number. Malch the following:

LIST-I LIST-II
(A) $$
\text { The minimum value of } 2 x^2+4 x+5
$$
(I) -1
(B) $$
\text { The maximum value of } \frac{x^2+4 x+1}{x^2+x+1}
$$
(II) 1
(C) $$
\text { If } 1 \leq \frac{3 x^2-5 x+6}{x^2+1} \leq 2 \forall x \in[a, b] \text {, then } b=
$$
(III) 2
(D) $$
\text { If } 1 \leq \frac{3 x^2}{x^2+1}-5 x+6 ~ \leq 2, \forall x \in[a, b] \text {, then } a=
$$
(IV) 3
(V) 4

$$ \text { The correct match is : } $$

A
A B C D
IV III II V
B
A B C D
IV III II V
C
A B C D
IV III V II
D
A B C D
III V IV I
2
TS EAMCET 2022 (Online) 19th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $\alpha, \beta$ and $\gamma$ are the roots of the equation $5 x^3-2 x-4=0$, then $\alpha^3+\beta^3+\gamma^3=$

A

$\frac{12}{5}$

B

$\frac{18}{29}$

C

4

D

-4

3
TS EAMCET 2022 (Online) 19th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

If the roots of $x^5-a x^4+b x^3-c x^2+d x-1=0$ are all positive such that their arithmetic mean and geometric mean are equal, then $a+b+c+d=$

A

10

B

15

C

20

D

30

4
TS EAMCET 2022 (Online) 19th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

The number of non-real roots of the equation $x^{10}-3 x^8+5 x^6-5 x^4+3 x^2-1=0$ is

A

8

B

6

C

4

D

2

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