JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

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Application +4 | -1

The mirror image of the curve

\arg \left(\frac{z-3}{z-i}\right)=\frac{\pi}{6}

i=\sqrt{-1}

in the real axis, is

View answer and explanation

Correct option: D

\arg \left(\frac{z+i}{z-3}\right)=\frac{\pi}{6}

Option D (

\arg \left(\frac{{z + i}}{{z - 3}}\right) = \frac{\pi }{6}

) is correct because the mirror image of a complex number z in the real axis is its conjugate

\bar{z}

, and using the properties of arguments, the equation transforms to the given answer.

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\alpha, \beta

\gamma

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