1
AP EAPCET 2021 - 19th August Morning Shift
MCQ (Single Correct Answer)
+1
-0

The rank of the matrix $$\left[\begin{array}{ccc}4 & 2 & (1-x) \\ 5 & k & 1 \\ 6 & 3 & (1+x)\end{array}\right]$$ is 1 , then,

A
$$k=\frac{5}{2}, x=\frac{1}{5}$$
B
$$k=\frac{5}{2}, x \neq \frac{1}{5}$$
C
$$k=\frac{1}{5}, x=\frac{5}{2}$$
D
$$k \neq \frac{5}{2}, x=\frac{1}{5}$$
2
AP EAPCET 2021 - 19th August Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $$a_1, a_2, \ldots . a_9$$ are in GP, then $$\left|\begin{array}{lll}\log a_1 & \log a_2 & \log a_3 \\ \log a_4 & \log a_5 & \log a_6 \\ \log a_7 & \log a_8 & \log a_9\end{array}\right|$$ is equal to

A
$$\log \left(a_1, a_2, \ldots a_n\right)$$
B
1
C
$$\left(\log a_9\right)^9$$
D
0
3
AP EAPCET 2021 - 19th August Morning Shift
MCQ (Single Correct Answer)
+1
-0

$$(\sin \theta-i \cos \theta)^3$$ is equal to

A
$$i^3(\cos 3 \theta+i \sin 3 \theta)$$
B
$$\cos 3 \theta+i \sin 3 \theta$$
C
$$\sin 3 \theta-i \cos 3 \theta$$
D
$$(-i)^3(\cos 3 \theta+i \sin 3 \theta)$$
4
AP EAPCET 2021 - 19th August Morning Shift
MCQ (Single Correct Answer)
+1
-0

Real part of $$(\cos 4+i \sin 4+1)^{2020}$$ is

A
$$2^{2020} \cos ^{2020} 2 \cos 2020$$
B
$$2^{2020} \cos ^{2020} 2 \cos 4040$$
C
$$2^{1020} \cos ^{2020} 2 \cos 4040$$
D
$$2^{2020} \cos ^{2020} 1 \cos 2020$$
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