If `A(2,-1)a n dB(6,5)` are two points, then find the ratio in which the food of the perpendicular from `(4,1)` to `A B` divides it.

Explanation

To solve the problem step by step, we will follow these instructions:

### Step 1: Identify the Points
We have two points A(2, -1) and B(6, 5), and we need to find the foot of the perpendicular from point P(4, 1) to line AB.

### Step 2: Use the Section Formula
Let the foot of the perpendicular from P to AB be M. We assume that M divides AB in the ratio λ:1. According to the section formula, the coordinates of point M can be expressed as:
\[
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