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

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

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Solution:

image
Image of $(5,3)$ in $x$-axis is $(5,-3)$
Now, line $A B$ will also pass through $(5,-3)$
$\therefore$ equation of $A B$ is $y-2=\frac{-5}{4}(x-1)$ $5 x+4 y=13$