Complex Numbers
Modulus Inequalities
JEE Main
Grade 11
Question:
If $|z| = 2$, find the minimum value of $|z - 3 + 4i|$.
Step-by-Step Solution
Key Concept: Apply $|z - (3 - 4i)| \geq ||z| - |3 - 4i||$ (reverse triangle inequality). Compute $|3 - 4i|$ and evaluate.
The detailed step-by-step mathematical proof is available inside the Mathbee app workspace.
Correct Answer: 3