JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Application +4 | -1

If complex no.

z

and its conjugate

\bar{z}

satisfy

z \bar{z}+2 i(z+\bar{z})=12+8 i

then value of

z

View answer and explanation

Correct option: B

2 \pm 2 \sqrt{2} \mathrm{i}

Option B (

2 \pm 2 \sqrt{2} i

) is correct because by substituting z = x + iy into the given equation and solving for x and y, we find that x = 2 and y =

\pm 2\sqrt{2}

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