z is a unimodular complex number. STATEMENT-1: (z^2 + z) = z. STATEMENT-2: z = ( z) - i ( z)

JEE Advanced Mathematics question

is a unimodular complex number. 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 False
(D)Statement-1 is False, Statement-2 is TrueCorrect

Answer: (D)

Let ; . - **Statement-2:** . **True.** - **Statement-1:**

+ z = + = + = 2 .

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Question ID VK-110320