A ray of light passing through the point `(1,2)` reflects on the x-a xi s at point `A` and the reflected ray passes through the point `(5,3)` . Find the co-ordinates of `Adot`

Options

A. `(x-3)/1=(y-2)/0=(z-5)/1`
B. `(x-3)/1=(y-2)/0=(z-5)/-4`
C. `(x-3)/1=(y-2)/0=(z-5)/4`
D. `(x-1)/1=(y-2)/0=(z-3)/4`

Explanation

To find the coordinates of the point A where the ray of light reflects on the x-axis, we can follow these steps:

### Step 1: Understand the Geometry
We have a ray of light passing through the point (1, 2) and reflecting on the x-axis at point A (a, 0). After reflection, the ray passes through the point (5, 3).

### Step 2: Set Up the Slope of the Incoming Ray
The slope of the line from (1, 2) to A (a, 0) can be calculated using the formula for slope:

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