1
JEE Main 2019 (Online) 12th April Morning Slot
+4
-1
The equation |z – i| = |z – 1|, i = $$\sqrt { - 1}$$, represents :
A
B
the line through the origin with slope – 1
C
a circle of radius $${1 \over 2}$$
D
the line through the origin with slope 1
2
JEE Main 2019 (Online) 10th April Evening Slot
+4
-1
If z and w are two complex numbers such that |zw| = 1 and arg(z) – arg(w) = $${\pi \over 2}$$ , then:
A
$$z\overline w = {{1 - i} \over {\sqrt 2 }}$$
B
$$\overline z w = i$$
C
$$z\overline w = {{ - 1 + i} \over {\sqrt 2 }}$$
D
$$\overline z w = -i$$
3
JEE Main 2019 (Online) 10th April Morning Slot
+4
-1
If a > 0 and z = $${{{{\left( {1 + i} \right)}^2}} \over {a - i}}$$, has magnitude $$\sqrt {{2 \over 5}}$$, then $$\overline z$$ is equal to :
A
$$- {1 \over 5} + {3 \over 5}i$$
B
$$- {1 \over 5} - {3 \over 5}i$$
C
$${1 \over 5} - {3 \over 5}i$$
D
$$- {3 \over 5} - {1 \over 5}i$$
4
JEE Main 2019 (Online) 9th April Evening Slot
+4
-1
Let z $$\in$$ C be such that |z| < 1.

If $$\omega = {{5 + 3z} \over {5(1 - z)}}$$z, then:-
A
4Im( $$\omega$$) > 5
B
5Im( $$\omega$$) < 1
C
5Re( $$\omega$$) > 4
D
5Re( $$\omega$$) > 1
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