1. Tardigrade
  2. Question
  3. Mathematics
  4. If |z+4| ≤ 3, then the maximum value of |z+1| is

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. If $|z+4| \leq\, 3$, then the maximum value of $|z+1|$ is

Complex Numbers and Quadratic Equations

Solution:

z lies on or inside the circle with centre $(- 4, 0)$ and radius $3$ units
image
From the Argand diagram maximum value of $|z+1|$ is $6$ .