1
WB JEE 2021
MCQ (Single Correct Answer)
+1
-0.25
Change Language
If |z| = 1 and z $$\ne$$ $$\pm$$ 1, then all the points representing $${z \over {1 - {z^2}}}$$ lie on
A
a line not passing through the origin
B
the line y = x
C
the X-axis
D
the Y-axis
2
WB JEE 2021
MCQ (Single Correct Answer)
+1
-0.25
Change Language
Let C denote the set of all complex numbers. Define A = {(z, w) | z, w$$\in$$C and |z| = |w|}, B = {z, w} | z, w$$\in$$C and z2 = w2}. Then
A
A = B
B
A $$ \subset $$ B
C
B $$\subset$$ A
D
A $$\cap$$ B = $$\varphi $$
3
WB JEE 2020
MCQ (Single Correct Answer)
+1
-0.25
Change Language
The number of complex numbers p such that $$\left| p \right| = 1$$ and imaginary part of p4 is 0, is
A
4
B
2
C
8
D
infinitely many
4
WB JEE 2020
MCQ (Single Correct Answer)
+1
-0.25
Change Language
The equation $$z\bar z + (2 - 3i)z + (2 + 3i)\bar z + 4 = 0$$ represents a circle of radius
A
2 unit
B
3 unit
C
4 unit
D
6 unit
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