The area of the region in the Argand plane in which z can belong, satisfying the inequalities 1 |z - 1| 4 and z + z 2, is

JEE Advanced Mathematics question

The area of the region in the Argand plane in which can belong, satisfying the inequalities and , is

Answer: (B)

With , . The condition is the closed annulus centred at with radii 1 and 4. The line passes through the centre, so cuts off exactly

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Question ID VK-110414