Q52 / 90 · JEE Main 2012 (07 May Online) · Mathematics

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: $\left|Z_1+Z_2\right| \leq\left|Z_1\right|+\left|Z_2\right|$

  • A
    Statement 1 is true, Statement 2 is true, Statement 2 is a correct explanation of Statement 1.
  • Correct answer
    B
    Statement 1 is true, Statement 2 is true, Statement 2 is not a correct explanation of Statement 1.
  • C
    Statement 1 is true, Statement 2 is false.
  • D
    Statement 1 is false, Statement 2 is true.

Solution

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

Hence, the correct answer is option: 'B'.

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