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If Re ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ + − i z 2 1 z = 1, where z = x + iy, then the point (x, y) lies on a :

1. circle whose diameter is 2 5 .
2. circle whose centre is at ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ − − 2 3 , 2 1
3. straight line whose slope is – 3 2
4. straight line whose slope is 2 3

Correct answer: circle whose diameter is 2 5 .

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