1
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
$$(-i)^3(\cos 3 \theta+i \sin 3 \theta)$$
2
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
$$2^{2020} \cos ^{2020} 1 \cos 2020$$
3
AP EAPCET 2021 - 19th August Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $${({x^2} + 5x + 5)^{x + 5}} = 1$$, then the number of integers satisfying this equation is

A
2
B
3
C
4
D
5
4
AP EAPCET 2021 - 19th August Morning Shift
MCQ (Single Correct Answer)
+1
-0

Let $$f(x)=x^3+a x^2+b x+c$$ be polynomial with integer coefficients. If the roots of $$f(x)$$ are integer and are in Arithmetic Progression, then $$a$$ cannot take the value

A
$$-642$$
B
1214
C
1323
D
1626
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