1
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
2
JEE Main 2019 (Online) 9th April Morning Slot
+4
-1
All the points in the set
$$S = \left\{ {{{\alpha + i} \over {\alpha - i}}:\alpha \in R} \right\}(i = \sqrt { - 1} )$$ lie on a
A
straight line whose slope is –1
B
straight line whose slope is 1.
C
D
circle whose radius is $$\sqrt 2$$ .
3
JEE Main 2019 (Online) 8th April Evening Slot
+4
-1
If $$z = {{\sqrt 3 } \over 2} + {i \over 2}\left( {i = \sqrt { - 1} } \right)$$,

then (1 + iz + z5 + iz8)9 is equal to
A
1
B
–1
C
0
D
(-1 + 2i)9
4
JEE Main 2019 (Online) 8th April Morning Slot
+4
-1
If $$\alpha$$ and $$\beta$$ be the roots of the equation x2 – 2x + 2 = 0, then the least value of n for which $${\left( {{\alpha \over \beta }} \right)^n} = 1$$ is :
A
2
B
5
C
4
D
3
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