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Question: Answered & Verified by Expert
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: $\left|Z_1+Z_2\right| \leq\left|Z_1\right|+\left|Z_2\right|$
MathematicsComplex NumberJEE MainJEE Main 2012 (07 May Online)
Options:
  • A
    Statement 1 is true, Statement 2 is true, Statement 2 is a correct explanation of Statement 1.
  • 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:
1360 Upvotes Verified Answer
The correct answer is:
Statement 1 is true, Statement 2 is true, Statement 2 is not a correct explanation of Statement 1.
Statement $-1$ and 2 both are true.
It is fundamental property.
But Statement - 2 is not correct explanation for Statement $-1$.

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