1
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
2
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
3
WB JEE 2019
MCQ (Single Correct Answer)
+1
-0.25
Change Language
Let z be a complex number such that the principal value of argument, arg z > 0. Then, arg z $$-$$ arg($$-$$ z) is
A
$${\pi \over 2}$$
B
$$ \pm $$ $$\pi$$
C
$$\pi$$
D
$$-$$ $$\pi$$
4
WB JEE 2019
MCQ (Single Correct Answer)
+1
-0.25
Change Language
The general value of the real angle $$\theta$$, which satisfies the equation, $$(\cos \theta + i\sin \theta )(\cos 2\theta + i\sin 2\theta )...(\cos n\theta + i\sin n\theta ) = 1$$ is given by, (assuming k is an integer)
A
$${{2k\pi } \over {n + 2}}$$
B
$${{4k\pi } \over {n(n + 1)}}$$
C
$${{4k\pi } \over {n + 1}}$$
D
$${{6k\pi } \over {n(n + 1)}}$$
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