1. Tardigrade
  2. Question
  3. Mathematics
  4. Let Z1 and Z2 be any two complex number. Statement 1: |Z1-Z2| ge |Z1|-|Z2| Statement 2: |Z1+Z2| le |Z1|+|Z2|

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. Let $Z_1$ and $Z_2$ be any two complex number.
Statement 1 : $\left|Z_{1}-Z_{2}\right|\ge \left|Z_{1}\right|-\left|Z_{2}\right|$
Statement 2: $\left|Z_{1}+Z_{2}\right|\le \left|Z_{1}\right|+\left|Z_{2}\right|$

AIEEEAIEEE 2012Complex Numbers and Quadratic Equations

Solution:

Statement -1 and 2 both are true.
It is fundamental property.
But Statement - 2 is not correct explanation for Statement -1.