If z is a complex number, then | 3z – 1| = 3 | z – 2 | repre... | MATH - SQUARE ROOT, REPRESENTATION AND LOGARITHM OF COMPLEX NUMBERS | SolveeIt | Solveeit

Today, August 19

Question

If z is a complex number, then | 3z – 1| = 3 | z – 2 | represents

A

y-axis

B

A circle

C

x-axis

D

A line parallel to y-axis

Answer

A line parallel to y-axis

Explanation

Solution

Sol. Let z = x + iy

|3(x + iy) – 1| = 3 |(x + iy) – 2|

9x² + 9y² – 6x + 1 = 9x² + 9y² – 36x + 36

30x = 35 Ž x = 7/6