Complex Numbers
Complex Numbers
star_batch_jee_advanced_2025
Grade 11
Question:
For the complex number $z$, the minimum value of $|z| + |z - \cos\alpha - i\sin\alpha|$ is:
Step-by-Step Solution
Key Concept: Apply combination formulas sequentially and account for symmetry or equivalence in the final count.
The number of ways to arrange the colors is calculated using combinations: $^{10}C_1 \cdot ^{9}C_1 \cdot ^{8}C_1 \cdot ^{7}C_1 \times \frac{1}{4} = 80$. The division by 4 accounts for cyclic symmetry or identical outcomes.
Correct Answer: 2