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Consider the following two statements : Statement I : For any two non-zero complex numbers z 1 , z 2 ( ) ( ) 2 1 2 2 2 1 2 1 z z 2 z z z z z z + ≤ + + and Statement II : If x, y, z are three distinct complex numbers and a, b, c are three positive real numbers such that | z – y | a = | x – z | b = | y – x | c , then y – x c x – z b z – y a 2 2 2 + + = 1. Between the above two statements,

1. both Statement I and Statement II are incorrect.
2. Statement I is incorrect but Statement II is correct.
3. Statement I is correct but Statement II is incorrect.
4. both Statement I and Statement II are correct.

Correct answer: Statement I is correct but Statement II is incorrect.

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