JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

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Analyzing +4 | -1

Let

z

and

\omega

be complex numbers. If

\operatorname{Re}(z)=|z-2|

\operatorname{Re}(\omega)=|\omega-2|

and

\arg (z-\omega)=\frac{\pi}{3}

, the value of

\operatorname{Im}(z+\omega)

View answer and explanation

Correct option: D

\frac{4}{\sqrt{3}}

Option D (

\frac{4}{\sqrt{3}}

) is correct because by using parametric form of z and omega, and given argument, the imaginary part of z+omega can be found.

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