Let Z1 and Z2 be any two complex number. Statement 1: ZZ Z Z 12 1 2 -³- Statement 2: ZZ Z Z 12 1 2

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

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

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

  3. Statement 1 is true, Statement 2 is false.

  4. 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:

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