A ray of light passing through the point P(1,2) reflects on the x-axis at the point A and the reflected ray passes through the point Q(5,3).Find the coordinates of the point A.

Explanation

With the given details, we can create a diagram.

Please refer to video for the diagram.

From the diagram,
`/_PAD = /_QAC = theta`

Then, slope of `QA(m_1) = tan theta`

Slope of `PA(m_2) = tan (pi-theta) = - tantheta`

`:. m_1 = -m_2`

Let coordinates of point `A` is `(a,0)`. Then,

...