Area under the curveHard

Question

Let z = x + iy, then area bounded by the curve |z| ≤ 2 and (1 - i) z + (1 + i) ≥ 4 :-

Options

A. - 2
B.
C.π - 2
D.3π + 2

Solution


x2 + y2 ≤ 4 ; x + y ≤ 2
× π × 4 - × 2 × 2 = π - 2

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