Find the ratio in which the line segment joining the points (1, 3, 5) and (-4, 3, -6) is divided by
the XY-plane. Also, find the coordinates of the point of division.

Explanation

To solve the problem of finding the ratio in which the line segment joining the points \( A(1, 3, 5) \) and \( B(-4, 3, -6) \) is divided by the XY-plane, as well as the coordinates of the point of division, we can follow these steps:

### Step 1: Understand the Problem
The XY-plane is defined by the equation \( z = 0 \). We need to find the point \( C(x, y, 0) \) on the line segment \( AB \) that divides it in some ratio \( k:1 \).

### Step 2: Use the Section Formula
The section formula in three dimensions states that if a point \( C \) divides the line segment joining points \( A(x_1, y_1, z_1) \) and \( B(x_2, y_2, z_2) \) in the ratio \( m:n \), then the coordinates of point \( C \) are given by:
\[
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