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, given that the real part of \( \frac{z + 2}{z - 1} = 4 \), is a circle.

### Step-by-Step Solution:

1. **Express \( z \) in terms of its real and imaginary parts**:
Let \( z = x + iy \), where \( x \) and \( y \) are real numbers.

2. **Substitute \( z \) into the expression**:
...