1
AP EAPCET 2025 - 22nd May Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $\alpha$ is a repeated root of multiplicity 2 of the equation $18 x^3-33 x^2+20 x-4=0$, then

A

$3 \alpha^2-8 \alpha+4=0$

B

$3 \alpha^2+8 \alpha+4=0$

C

$3 \alpha^2-\alpha-4=0$

D

$3 \alpha^2+2 \alpha-4=0$

2
AP EAPCET 2025 - 22nd May Morning Shift
MCQ (Single Correct Answer)
+1
-0

The equation $6 x^4-5 x^3+13 x^2-5 x+6=0$ will have

A

only real roots

B

only complex roots

C

two real and two complex roots

D

two real and two purely imaginary roots

3
AP EAPCET 2025 - 21st May Evening Shift
MCQ (Single Correct Answer)
+1
-0

The roots $\alpha, \beta$ of the equation $x^2-6(k-1) x+4(k-2)=0$ are equal in magnitude but opposite in sign, if $\alpha>\beta$, then the product of the roots of the equation $2 x^2-\alpha x+6 \beta(\alpha+1)=0$

A

12

B

-12

C

16

D

-18

4
AP EAPCET 2025 - 21st May Evening Shift
MCQ (Single Correct Answer)
+1
-0

If $a x^2+b x+c<0 \forall x \in R$ and the expressions $c x^2+a x+b$ and $a x^2+b x+c$ have their extreme values at the same point $x$, then for the expression $c x^2+a x+b$

A

Minimum value $=\frac{4 b}{3}$

B

Maximum value $=\frac{4 a}{3}$

C

Minimum value $=\frac{3 a}{4}$

D

Maximum value $=\frac{3 b}{4}$

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