If a complex number z satisfies the equation z + 2|z + 1| + i = 0, then |z| is equal to :

JEE Main 2013 Mathematics question

If a complex number z satisfies the equation , then |z| is equal to :

Answer: (3)

With z = x + iy: imaginary part y + 1 = 0 ⇒ y = −1; real part (x < 0) ⇒

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Question ID VK-104046