If $x+i y=\frac{a+i b}{a-i b}$, then $x^2+y^2=$

JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

1 of 1

Application +4 | -1

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

, then

x^2+y^2=

View answer and explanation

Correct option: A

Option A (1) is correct because when x+iy is multiplied by its conjugate, the result is 1, which means x² + y² = 1.

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