WB JEE 2022 | Complex Numbers Question 23 | Mathematics

WB JEE 2022

MCQ (More than One Correct Answer)

-0

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

Principal value of arg(z₁z₂) may not be equal to Principal value of argz₁ + Principal value of arg z₂

Principal value of arg(z₁z₂) = Principal value of argz₁ + Principal value of arg z₂

Principal value of arg(z₁/z₂) = Principal value of argz₁ $$-$$ Principal value of arg z₂

Principal value of arg(z₁/z₂) may not be argz₁ $$-$$ arg z₂

WB JEE 2021

MCQ (More than One Correct Answer)

-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

$$\sqrt 2 (1 + i)$$

$$\sqrt 2 (1 - i)$$

$$\sqrt 2 ( - 1 + i)$$

$$\sqrt 2 ( - 1 - i)$$

WB JEE 2019

MCQ (More than One Correct Answer)

-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)

$$(2n + 1){\pi \over 2},n \in I$$

$${{3n\pi } \over 2},n \in I$$

$$n\pi ,n \in I$$

$$2n\pi ,n \in I$$

WB JEE 2017

MCQ (More than One Correct Answer)

-0

The complex number z satisfying the equation | z $$-$$ 1 | = | z + 1 | = 1 is

1 + i

$$-$$ 1 + i

1 $$-$$ i

WB JEE Subjects