If $z_1$ is a root of the equation $z^5+z^3+z+3=0$, then

$\quad\left|z_1\right| \leq \frac{1}{2}$

$\left| {{z_1}} \right| \leqslant \frac{1}{3}$

JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

1 of 1

Analyzing +4 | -1

z_1

is a root of the equation

z^5+z^3+z+3=0

, then

View answer and explanation

Correct option: B

\quad\left|z_1\right| \geq 1

Option B (

\quad\left|z_1\right| \geq 1

) is correct because if

|z_1| < 1

, the inequality leads to a contradiction.

Practice All Chapter MCQs →

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