JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

1 of 1

Understanding +4 | -1

Consider the following statements.

I. If

{z}, {z}_1, {z}_2

be three complex numbers then

z \bar{z}=|{z}|^2

II. The modulus of a complex number

z=a+i b

is defined as

|z|=\sqrt{a^2+b^2}

.

III. Multiplicative inverse of

z=3-2 {i}

\frac{3}{13}+\frac{2}{13} {i}

Choose the correct option.

View answer and explanation

Correct option: D

All I, II and III are correct

Option D is correct because all three statements are correct. They define the conjugate, modulus, and multiplicative inverse of complex numbers.

More Questions from COMPLEX NUMBERS

Practice All Chapter MCQs →

{\left| {1 - i} \right|^x} = {2^x}

|z|=1

z \neq \pm 1

z, \frac{z}{1-z^2}

\left|z_r-r\right| \leq r, \forall r=1,2,3, \ldots, n

\left|\sum\limits_{r=1}^n z_r\right|

(z+a b)^3=a^3

a \neq 0

\alpha, \beta

\gamma

|\alpha-\beta|

{z^2} + {\left| z \right|^2} = 0,

z \in C

2x = - 1 + \sqrt 3 i

{\left( {1 - {x^2} + x} \right)^6} - {\left( {1 - x + {x^2}} \right)^6}