Find the ratio in which the join the `A(2,1,5)a n dB(3,4,3)` is divided by the plane `2x+2y-2z=1.` Also, find the coordinates of the point of division.

Explanation

To solve the problem of finding the ratio in which the line segment joining points A(2, 1, 5) and B(3, 4, 3) is divided by the plane \(2x + 2y - 2z = 1\), we will follow these steps:

### Step 1: Define the ratio
Let the ratio in which the line segment AB is divided by the plane be \(k:1\). This means that if point C divides AB in the ratio \(k:1\), we can express the coordinates of C in terms of k.

### Step 2: Find the coordinates of point C
Using the section formula for internal division, the coordinates of point C \((x, y, z)\) can be calculated as follows:

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