1
AP EAPCET 2025 - 26th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

After the roots of the equation $6 x^3+7 x^2-4 x-2=0$ are diminished by $h$, if the transformed equation does not contain $x$ term, then the product of all the possible value of $h$ is

A

$1 / 3$

B

$-2 / 3$

C

$-2 / 9$

D

$7 / 3$

2
AP EAPCET 2025 - 26th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

The number of distinct quadratic equations $a x^2+b x+c=0$ with unequal real roots that can be formed by choosing the coefficients $a, b, c(a \neq b \neq c)$ from the set $\{0,1,2,4\}$ is

A

4

B

6

C

5

D

12

3
AP EAPCET 2025 - 24th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

The number of solutions of the equation $\sqrt{3 x^2+x+5}=x-3$ is

A

2

B

1

C

0

D

4

4
AP EAPCET 2025 - 24th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

The set of all real values of $x$ for which $\frac{x^2-1}{(x-4)(x-3)} \geq 1$ is

A

$[-1,1] \cup(3,4)$

B

$\left[\frac{13}{7}, 3\right) \cup(4, \infty)$

C

$\left(-\infty, \frac{13}{7}\right] \cup(3,4)$

D

$R-[3,4]$

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