JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

1 of 1

Understanding +4 | -1

Statement-I: If

(a+i b)(c+i d)(e+if )(g+i h)=A+i B

, then

\left(a^2+b^2\right)\left(c^2+d^2\right)\left(e^2+f^2\right)\left(g^2+h^2\right)=A^2+B^2

.

Statement-II: If

z=x+ iy,

then

|z|=\sqrt{x^2+y^2}

View answer and explanation

Correct option: C

Both are correct

Option C is correct because both statements are correct. Statement I relates complex number multiplication to the product of their magnitudes, and Statement II defines the modulus of a complex number.

More Questions from COMPLEX NUMBERS

Practice All Chapter MCQs →

The number of non-zero integer solutions of the equation

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

is If

|z|=1

and

z \neq \pm 1

, then for any complex number

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

Let

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

, then

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

is less than The roots of the cubic equation

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

, where

a \neq 0

represents the vertices of a triangle. If

\alpha, \beta

and

\gamma

are the roots, then find the value of

|\alpha-\beta|

. Number of solutions of the equation

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

where

z \in C

is If

2x = - 1 + \sqrt 3 i

, then the value of

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

is equal to