1
TS EAMCET 2020 (Online) 14th September Morning Shift
MCQ (Single Correct Answer)
+1
-0

Sum of the modulii of the complex roots of the equation $\left(x^2+\frac{1}{x^2}\right)-5\left(x+\frac{1}{x}\right)+6=0$ is

A

5

B

1

C

$\frac{1}{2}$

D

2

2
TS EAMCET 2020 (Online) 14th September Morning Shift
MCQ (Single Correct Answer)
+1
-0

Assertion (A) If $a_1, a_2, \ldots, a_n$ are the $n$ distinct roots of the equation $x^n-2=0$, then $1+\left(1-a_1\right)\left(1-a_2\right) \ldots \left(1-a_{n-1}\right)\left(1-a_n\right)=0$

Reason (R) If $\alpha_1, \alpha_2, \ldots, \alpha_n$ are the roots of $f(x) \equiv p_0 x^n+p_1 x^{n-1}+p_2 x^{n-2}+\ldots+p_n=0$, then the roots of

$$ f(g(x))=0 \text { are } \mathrm{g}^{-1}\left(\alpha_i\right), i=1,2,3, \ldots, n $$

The correct option among the following is

A

(A) is true, (R) is true and (R) is the correct explanation for (A).

B

(A) is true, (R) is true but (R) is not the correct explanation for (A).

C

(A) is true but (R) is false .

D

(A) is false but (R) is true.

3
TS EAMCET 2020 (Online) 11th September Evening Shift
MCQ (Single Correct Answer)
+1
-0

The number of points $z$ on the Argand plane which satisfy the conditions $\operatorname{Re}\left(\frac{z-2}{z-4 i}\right)=0$ and $\lim \left(\frac{z-2}{z-4 i}\right)=1$ simultaneously is

A

0

B

1

C

2

D

infinitely many

4
TS EAMCET 2020 (Online) 11th September Evening Shift
MCQ (Single Correct Answer)
+1
-0

If $(\sqrt{3}+i)^{10}=a+b i, a, b \in \mathbf{R}$, then the values of $a$ and $b$ are respectively

A

64 and $-64 \sqrt{3}$

B

128 and $128 \sqrt{3}$

C

256 and $256 \sqrt{3}$

D

512 and $-512 \sqrt{3}$

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