Question

If |z| = 3, then the points representing the complex no.'s – 1 + 4z lie on a –

• A. Line
• B. Circle
• C. Parabola
• D. None of these

Answer 1

Answer: (B)

Circle

Answer 2

Sol. Let w = – 1+ 4z

Ž 4z = w + 1 Ž 4 | z | = | w + 1 |

Ž | w + 1| = 4 × 3 = 12

Thus w, lies on a circle with centre at (–1,0)

& radius equal to 12.