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Let A = ⎭ ⎬ ⎫ ⎩ ⎨ ⎧ < − + ∈ 1 1 z 1 z : C z and B = ⎭ ⎬ ⎫ ⎩ ⎨ ⎧ π = ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ + − ∈ 3 2 1 z 1 z arg : C z Then A ∩ B is :

1. A portion of a circle centred at ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ 3 1 – , 0 that lies in the second and third quadrants only
2. A portion of a circle centred at ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ 3 1 – , 0 that lies in the second quadrant only
3. An empty set
4. A portion of a circle of radius 3 2 that lies in the third quadrant only

Correct answer: A portion of a circle centred at ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ 3 1 – , 0 that lies in the second quadrant only

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