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JEE Advanced 2020
Paper-1 2020
Multiple correct answers - Select all that apply
Question
Let S be the set of all complex numbers z satisfying $\left|\mathrm{z}^2+\mathrm{z}+1\right|=1$. Then which of the following statements is/are TRUE ?
Select ALL correct options:
A
$\left|z+\frac{1}{2}\right| \leq \frac{1}{2}$ for all $z \in S$
B
$|z| \leq 2$ for all $z \in S$
C
$\left|z+\frac{1}{2}\right| \geq \frac{1}{2}$ for all $z \in S$
D
The set S has exactly four elements
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
⚠ Partially correct. Some answers are missing.
Solution
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JEE Advance
Mathematics
Easy
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