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Let \[{{Z}_{1}}\]and \[{{Z}_{2}}\]be any two complex number. Statement1:\[\left| {{Z}_{1}}-{{Z}_{2}} \right|\ge \left| {{Z}_{1}} \right|-\left| {{Z}_{2}} \right|\] Statement 2: \[\left| {{Z}_{1}}+{{Z}_{2}} \right|\le \left| {{Z}_{1}} \right|+\left| {{Z}_{2}} \right|\]   JEE Main Online Paper (Held On 07 May 2012)

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.