Answer: A circle of radius 2 centred at (1,0).
- A A circle of radius 1 centred at (2,0)
- B A circle of radius 2 centred at (1,0)
- C A line
- D A parabola
Correct answer: B. A circle of radius 2 centred at (1,0)
Explanation: |z - 1| = 2 represents a circle with centre at z = 1 (i.e., point (1,0)) and radius 2.
A complex number z = a+ib is plotted as a point (or vector from the origin) on the Argand plane, with the real part along the horizontal axis and the imaginary part along the vertical; its modulus |z| is the vector's length, and its argument θ is the angle from the positive real axis.
Concept context
Complex numbers in a+ib form, modulus, argument, polar form, cube roots of unity, and quadratic equations with complex roots
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