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JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Let Z1Z_{1} and Z2Z_{2} be any two complex number.
Statement 1: ∣Z1−Z2∣≥∣Z1∣−∣Z2∣\left|Z_{1}-Z_{2}\right| \geq\left|Z_{1}\right|-\left|Z_{2}\right|
Statement 2: ∣Z1+Z2∣≤∣Z1∣+∣Z2∣\left|Z_{1}+Z_{2}\right| \leq\left|Z_{1}\right|+\left|Z_{2}\right|
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Correct option: B
Statement 1 is true, Statement 2 is true, Statement 2 is not a correct explanation of Statement 1.
Option B is correct. Statement 1 and Statement 2 are both true due to the triangle inequality properties of complex numbers, but Statement 2 does not explain Statement 1.

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