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

JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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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: C

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

Option C (

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

) is correct because it is derived by equating the real and imaginary parts of the given equation and then finding the square root of the negative conjugate.

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