A line perpendicular to the in segment joining the points (1,0) and (2,3) divides it in the ratio `1: n` . Find the equation of the line.

Explanation

To find the equation of the line that is perpendicular to the segment joining the points (1,0) and (2,3) and divides it in the ratio \(1:n\), we can follow these steps:

### Step 1: Identify the Points
Let point A be (1, 0) and point B be (2, 3).

### Step 2: Find the Coordinates of Point C
Point C divides the segment AB in the ratio \(1:n\). Using the section formula, the coordinates of point C can be calculated as follows:

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