JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Medium

1 of 1

Application +4 | -1

The relation between the real numbers a and

b

, which satisfy the equation

\frac{1-\mathrm{ix}}{1+\mathrm{ix}}=\mathrm{a}-\mathrm{ib}

, for some real value of

x

, is

View answer and explanation

Correct option: C

a^2+b^2=1

Option C (

a^2+b^2=1

) is correct because by taking the modulus of both sides of the equation and simplifying, we arrive at the relationship

a^2 + b^2 = 1

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}