**Question:**Let $Z_{1}$ and $Z_{2}$ be any two complex number.

Statement 1: $\left|Z_{1}-Z_{2}\right| \geq\left|Z_{1}\right|-\left|Z_{2}\right|$

Statement 2: $\left|Z_{1}+Z_{2}\right| \leq\left|Z_{1}\right|+\left|Z_{2}\right|$

Statement 1 is true, Statement 2 is true, Statement 2 is a correct explanation of Statement 1 .

Statement 1 is true, Statement 2 is true, Statement 2 is not a correct explanation of Statement 1 .

Statement 1 is true, Statement 2 is false.

Statement 1 is false, Statement 2 is true.

Correct Option: 2

JEE Main Previous Year 1 Question of JEE Main from Mathematics Complex Numbers and Quadratic Equations chapter.

JEE Main Previous Year Online May 7, 2012
**Solution:**