JEE maths#21

Algebra Level 4

If \( z_{1}\) and \(z_{2}\) are two complex numbers such that, \( |z_{1}|^2 ≤ 169\) and \(|z_{2} +3-4i|^2 ≤ 25\).

Then find the maximum value of \(|z_{1} -z_{2} | \).