1
JEE Main 2019 (Online) 9th January Morning Slot
+4
-1
Let $$\alpha$$ and $$\beta$$ be two roots of the equation x2 + 2x + 2 = 0 , then $$\alpha ^{15}$$ + $$\beta ^{15}$$ is equal to :
A
-256
B
512
C
-512
D
256
2
JEE Main 2019 (Online) 9th January Morning Slot
+4
-1
Let
A = $$\left\{ {\theta \in \left( { - {\pi \over 2},\pi } \right):{{3 + 2i\sin \theta } \over {1 - 2i\sin \theta }}is\,purely\,imaginary} \right\}$$
. Then the sum of the elements in A is :
A
$${5\pi \over 6}$$
B
$$\pi$$
C
$${3\pi \over 4}$$
D
$${{2\pi } \over 3}$$
3
JEE Main 2018 (Online) 16th April Morning Slot
+4
-1
The least positive integer n for which $${\left( {{{1 + i\sqrt 3 } \over {1 - i\sqrt 3 }}} \right)^n} = 1,$$ is :
A
2
B
3
C
5
D
6
4
JEE Main 2018 (Offline)
+4
-1
If $$\alpha ,\beta \in C$$ are the distinct roots of the equation
x2 - x + 1 = 0, then $${\alpha ^{101}} + {\beta ^{107}}$$ is equal to
A
2
B
-1
C
0
D
1
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