Let Z_1 and Z_2 be any two complex number. Statement 1: |Z_1 - Z_2| |Z_1| - |Z_2| Statement 2: |Z_1 + Z_2| |Z_1| + |Z_2|

JEE Main 2012 Mathematics question

Let and be any two complex number. Statement 1: Statement 2:

(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.Correct
(3)Statement 1 is true, Statement 2 is false.
(4)Statement 1 is false, Statement 2 is true.

Answer: (2)

Both are forms of the triangle inequality and are true (Statement 1 follows from Z_1(Z_1Z_2)Z_2\le$

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Question ID VK-103416