1
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

2
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

3
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

$R-[3,4]$

4
AP EAPCET 2025 - 24th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
If $\alpha, \beta$ and $\gamma$ are the roots of the equation $2 x^3+3 x^2-5 x-7=0$, then $\frac{1}{\alpha^2}+\frac{1}{\beta^2}+\frac{1}{\gamma^2}=$
A

$-\frac{17}{49}$

B

$-\frac{23}{49}$

C

$\frac{55}{49}$

D

$\frac{67}{49}$

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