A ray of light passing through the point $A(1,2)$ is reflected at a point $B$ on the $x$-axis and th

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A ray of light passing through the point $A(1,2)$ is reflected at a point $B$ on the $x$-axis and then passes through $(5,3)$. Then the equation of $AB$ is :

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Sol. [Key Concept: Reflection: the image of $A$ in the $x$-axis is collinear with $B$, giving the equation of $AB$.]Reflection of $C$ with $x$-axis $\equiv (5, - 3)$ Equation of $AB$ is $y - 2 = \frac{5}{- 4}(x - 1)$$$5x + 4y = 13$$

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