Find the equation of the circle with centre on the line 2x + y = 0 and touching the line `4x - 3y + 10=0, 4x - 3y = 30` .

Explanation

To find the equation of the circle with its center on the line \(2x + y = 0\) and touching the lines \(4x - 3y + 10 = 0\) and \(4x - 3y - 30 = 0\), we can follow these steps:

### Step 1: Identify the lines
The two lines given are:
1. \(4x - 3y + 10 = 0\) (Line 1)
2. \(4x - 3y - 30 = 0\) (Line 2)

These lines are parallel since they have the same coefficients for \(x\) and \(y\).
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