Let z_1 = r_1e^ i _1 and z_2 = r_2e^ i _2 , where r_1 > 1, r_2 > 1. STATEMENT-1: |1 - z_1z_2| > |z_1 - z_2|. STATEMENT-2: |z_1 - z_2| < |z_1| + |z_2|.

JEE Advanced Mathematics question

Let and , where , . STATEMENT-1: . STATEMENT-2: .

(A)Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1
(B)Statement-1 is True, Statement-2 is True; Statement-2 is *Not* a correct explanation for Statement-1
(C)Statement-1 is True, Statement-2 is FalseCorrect
(D)Statement-1 is False, Statement-2 is True

Answer: (C)

**Statement-1.** Using :

|1 - |^2 - | - |^2 = (1 - - - - -

= 1 - - + ||^2||^2 - ||^2 + + - ||^2

= 1 + - - = (1 - - > 0,

since both fac

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Question ID VK-110407