If the real part of `(z +2)/(z -1)` is `4,` then show that the locus of he point representing `z` in the complex plane is a circle.

Explanation

To solve the problem, we need to show that the locus of the point representing \( z \) in the complex plane is a circle given that the real part of \( \frac{z + 2}{z - 1} = 4 \).

### Step-by-Step Solution:

1. **Substituting \( z \)**:
Let \( z = x + iy \), where \( x \) and \( y \) are real numbers. Then we can rewrite the expression:
\[
\frac{z + 2}{z - 1} = \frac{(x + 2) + iy}{(x - 1) + iy}
...