Complex Numbers
Complex Numbers
Allen Star Batch
Grade 11
Question:
If $z$ is a complex number satisfying $|z|^2 - |z| - 2 < 0$, then the possible value(s) of $|z^2 + z\sin\theta|$ for all values of $\theta$, is(are):
Step-by-Step Solution
Key Concept: Total non-empty subsets of an $n$-element set equal $2^n - 1$ when the empty set is excluded.
The number of ways is $2^n - 1$, representing all non-empty subsets of $n$ objects arranged or selected in order.
Correct Answer: 1,2