1
JEE Main 2020 (Online) 2nd September Morning Slot
+4
-1
The value of

$${\left( {{{1 + \sin {{2\pi } \over 9} + i\cos {{2\pi } \over 9}} \over {1 + \sin {{2\pi } \over 9} - i\cos {{2\pi } \over 9}}}} \right)^3}$$ is :
A
$${1 \over 2}\left( {\sqrt 3 - i} \right)$$
B
-$${1 \over 2}\left( {\sqrt 3 - i} \right)$$
C
$$- {1 \over 2}\left( {1 - i\sqrt 3 } \right)$$
D
$${1 \over 2}\left( {1 - i\sqrt 3 } \right)$$
2
JEE Main 2020 (Online) 9th January Evening Slot
+4
-1
If z be a complex number satisfying |Re(z)| + |Im(z)| = 4, then |z| cannot be :
A
$$\sqrt {10}$$
B
$$\sqrt {7}$$
C
$$\sqrt {{{17} \over 2}}$$
D
$$\sqrt {8}$$
3
JEE Main 2020 (Online) 9th January Morning Slot
+4
-1
Let z be complex number such that
$$\left| {{{z - i} \over {z + 2i}}} \right| = 1$$ and |z| = $${5 \over 2}$$.
Then the value of |z + 3i| is :
A
$$2\sqrt 3$$
B
$$\sqrt {10}$$
C
$${{15} \over 4}$$
D
$${7 \over 2}$$
4
JEE Main 2020 (Online) 8th January Morning Slot
+4
-1
If the equation, x2 + bx + 45 = 0 (b $$\in$$ R) has conjugate complex roots and they satisfy |z +1| = 2$$\sqrt {10}$$ , then :
A
b2 – b = 42
B
b2 + b = 12
C
b2 + b = 72
D
b2 – b = 30
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