1
WB JEE 2023
MCQ (More than One Correct Answer)
+2
-0

If z$$_1$$ and z$$_2$$ are two complex numbers satisfying the equation $$\left| {{{{z_1} + {z_2}} \over {{z_1} - {z_2}}}} \right| = 1$$, then $${{{z_1}} \over {{z_2}}}$$ may be

A
real positive
B
real negative
C
zero
D
purely imaginary
2
WB JEE 2022
MCQ (More than One Correct Answer)
+2
-0

Let z1 and z2 be two non-zero complex numbers. Then

A
Principal value of arg(z1z2) may not be equal to Principal value of argz1 + Principal value of arg z2
B
Principal value of arg(z1z2) = Principal value of argz1 + Principal value of arg z2
C
Principal value of arg(z1/z2) = Principal value of argz1 $$-$$ Principal value of arg z2
D
Principal value of arg(z1/z2) may not be argz1 $$-$$ arg z2
3
WB JEE 2021
MCQ (More than One Correct Answer)
+2
-0
If $$\left| {z + i} \right| - \left| {z - 1} \right| = \left| z \right| - 2 = 0$$ for a complex number z, then z is equal to
A
$$\sqrt 2 (1 + i)$$
B
$$\sqrt 2 (1 - i)$$
C
$$\sqrt 2 ( - 1 + i)$$
D
$$\sqrt 2 ( - 1 - i)$$
4
WB JEE 2019
MCQ (More than One Correct Answer)
+2
-0
If $$\theta \in R$$ and $${{1 - i\cos \theta } \over {1 + 2i\cos \theta }}$$ is real number, then $$\theta$$ will be (when I : Set of integers)
A
$$(2n + 1){\pi \over 2},n \in I$$
B
$${{3n\pi } \over 2},n \in I$$
C
$$n\pi ,n \in I$$
D
$$2n\pi ,n \in I$$
WB JEE Subjects
Physics
Mechanics
Electricity
Optics
Modern Physics
Chemistry
Physical Chemistry
Inorganic Chemistry
Organic Chemistry
Mathematics
Algebra
Trigonometry
Coordinate Geometry
Calculus
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