If $\sqrt {x + iy} = \pm \left( {a + ib} \right)$, then $\sqrt { - x - iy} $ is equal to

JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

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Application +4 | -1

\sqrt {x + iy} = \pm \left( {a + ib} \right)

, then

\sqrt { - x - iy}

is equal to

View answer and explanation

Correct option: D

\pm \left( {b - ia} \right)

Option D (

\pm \left( {b - ia} \right)

) is correct because by squaring the given equation and comparing real and imaginary parts, we can find the expression for

\sqrt { - x - iy}

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