JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Application +4 | -1

\frac{1-i x}{1+i x}=a-i b

and

a^2+b^2=1

, where

a

and

b

are real, then

x

is equal to

View answer and explanation

Correct option: B

\frac{2 b}{(1+a)^2+b^2}

Option B (

\frac{2 b}{(1+a)^2+b^2}

) is correct because rationalizing the denominator and equating real and imaginary parts allows us to express x in terms of a and b.

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