1
JEE Main 2019 (Online) 9th January Evening Slot
+4
-1
Let z0 be a root of the quadratic equation, x2 + x + 1 = 0, If z = 3 + 6iz$$_0^{81}$$ $$-$$ 3iz$$_0^{93}$$, then arg z is equal to :
A
$${\pi \over 4}$$
B
$${\pi \over 6}$$
C
$${\pi \over 3}$$
D
0
2
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
3
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
$${{2\pi } \over 3}$$
4
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
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