1
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

2
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

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

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

Sum of all the roots of the equation $||2 x-3|-4|=2$ is

A

8

B

0

C

6

D

9

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

If the quotient and remainder obtained when the expression $3 x^5-6 x^4+2 x^3+4 x^2-5 x+8$ is divided by the expression $x^2-2 x+3$ are $a x^3+b x^2+c x+d$ and $p x+q$ respectively, then $a b+c d=$

A

$p+2 q$

B

$p+2 q-2$

C

$2 p+q$

D

$2 p+q-2$

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