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

If $f(x)$ is a second degree polynomial such that $f(x) \geq 0 \forall x \in R, f(-3)=0$ and $f(0)=18$, then $f(3)=$

A

36

B

72

C

144

D

288

2
TG EAPCET 2025 (Online) 4th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

If one of the roots of the equation $6 x^3-25 x^2+2 x+8=0$ is an integer and $\alpha>0, \beta<0$ are the other two roots, then $\frac{4}{\alpha}+\frac{1}{\beta}=$

A

0

B

1

C

-2

D

4

3
TG EAPCET 2025 (Online) 4th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $\alpha, \beta, \gamma, \delta$ and $\varepsilon$ are the roots of the equation $x^5+x^4-13 x^3-13 x^2+36 x+36=0$ and $\alpha<\beta<\gamma<\delta<\varepsilon$ then $\frac{\varepsilon}{\alpha}+\frac{\delta}{\beta}+\frac{1}{\gamma}=$

A

0

B

1

C

-1

D

-3

4
TG EAPCET 2025 (Online) 3rd May Evening Shift
MCQ (Single Correct Answer)
+1
-0

If $\tan \theta$ and $\cot \theta$ are two distinct roots of the equation $a x^2+b x+c=0, a \neq 0, b \neq 0$, then

A

$\cos 2 \theta=-\frac{2 b}{c}$

B

$\sin 2 \theta=-\frac{2 c}{b}$

C

$\tan 2 \theta=\frac{2 b}{c}$

D

$\cot 2 \theta=\frac{2 c}{a}$

TS EAMCET Subjects

Browse all chapters by subject