1
WB JEE 2019
+1
-0.25
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
$$-$$ $$\pi$$
2
WB JEE 2019
+1
-0.25
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
$${{6k\pi } \over {n(n + 1)}}$$
3
WB JEE 2019
+2
-0.5
For any non-zero complex number z, the minimum value of | z | + | z $$-$$ 1 | is
A
1
B
$${{1 \over 2}}$$
C
0
D
$${{3 \over 2}}$$
4
WB JEE 2019
+2
-0.5
The polar coordinate of a point P is $$\left( {2, - {\pi \over 4}} \right)$$. The polar coordinate of the point Q which is such that line joining PQ is bisected perpendicularly by the initial line, is
A
$$\left( {2,{\pi \over 4}} \right)$$
B
$$\left( {2,{\pi \over 6}} \right)$$
C
$$\left( { - 2,{\pi \over 4}} \right)$$
D
$$\left( { - 2,{\pi \over 6}} \right)$$
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