What are the points on x-axis whose perpendicular distance from the line `4x+3y=12\ is\ 4?`

Explanation

To find the points on the x-axis whose perpendicular distance from the line \(4x + 3y = 12\) is 4, we can follow these steps:

### Step 1: Identify the point on the x-axis
Since we are looking for points on the x-axis, we can denote a point on the x-axis as \((\alpha, 0)\), where \(\alpha\) is the x-coordinate we need to find.

### Step 2: Use the formula for the distance from a point to a line
The formula for the perpendicular distance \(d\) from a point \((x_0, y_0)\) to a line given by \(Ax + By + C = 0\) is:

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