1
TS EAMCET 2023 (Online) 12th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
Two numbers $b$ and $c$ are chosen at random in succession without replacement from the set $\{1,2,3, \ldots \ldots, 9\}$. Then, the probability that $x^2+b x+c>0, \forall x \in R$ i
A
$\frac{29}{72}$
B
$\frac{32}{81}$
C
$\frac{45}{143}$
D
$\frac{82}{125}$
2
TS EAMCET 2023 (Online) 12th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
If $(x-2)$ is a common factor of the expressions $x^2+a x+b$ and $x^2+c x+d$, then $\frac{b-d}{c-a}=$
A
1
B
2
C
3
D
4
3
TS EAMCET 2023 (Online) 12th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
The sum of the roots of the equation $e^{4 t}-10 e^{3 t}+29 e^{2 t}-20 e^t+4=0$ is
A
$\log _e 10$
B
$2 \log _e 2$
C
$\log _8 2$
D
$2 \log _{810}$
4
TS EAMCET 2022 (Online) 20th July Evening Shift
MCQ (Single Correct Answer)
+1
-0

Statement I The set of solutions of $|x|^2-4|x|+3<0$ is the interval $(-3,3)$

Statement II If $x<3$ or $x>5$, then $x^2-8 x+15>0$

Which of the above statements is (are) true?

A

Statement I is true, but Statement II is false

B

Statement II is true, but Statement I is false

C

Both Statement I and Statement II are true

D

Both Statement I and Statement II are false

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