A ray of light coming fromthe point (1, 2) is reflected at a point A on the x-axis and then passes through the point (5,3). The coordinates of the point A is :

Explanation

Let `P(1,2)` is the staring point and `Q(5,3)` is the point after reflection


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

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

`:. m_1 = -m_2`

Let coordinates of point `A` is `(a,0)` as it is on `x`-axis.Then,

`(2-0)/(1-a) = -(3-0)/(5-a)`

`=>10-2a = 3a-3=>5a = 13=>a = 13/5`.

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