If $(a+b i)^{11}=x+i y$, where $a, b, x, y \in \mathbf{R}$, then $(b+a i)^{11}$ equals

JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

1 of 1

Application +4 | -1

(a+b i)^{11}=x+i y

, where

a, b, x, y \in \mathbf{R}

, then

(b+a i)^{11}

equals

View answer and explanation

Correct option: B

-y-i x

Option B (-y - ix) is correct because by using the properties of complex conjugates and manipulating the expression, we find that

(b + ai)^{11} = -y - ix

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