JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Application +4 | -1

The complex numbers

z

having positive argument and satisfying

\left| {2 - 3i} \right| < \left| z \right|

, is

View answer and explanation

Correct option: A

\frac{{12}}{5} + \frac{{16}}{5}i

Option A (

\frac{{12}}{5} + \frac{{16}}{5}i

) is correct because it satisfies both the positive argument condition and the inequality |2 - 3i| < |z|.

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\left|\sum\limits_{r=1}^n z_r\right|

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\gamma

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