Question

A ray of light along `x+sqrt(3)y=sqrt(3)` gets reflected upon reaching x-axis, the equation of the reflected rays is (1) `sqrt(3)y=x-sqrt(3)` (2) `y=sqrt(3)x-sqrt(3)` (3) `sqrt(3)y=x-1` (4) `y=x+sqrt(3)`

Answer 1

`y = -1/sqrt3 x + 1`
`tan(- alpha) = -1/sqrt3`
`- tan alpha = -1/sqrt3`
`tan alpha = 1/sqrt3 `
point `(sqrt3, 0); m= 1/sqrt3`
`y = mx +c`
`0 = 1/sqrt3 xx sqrt3 + c`
`c= -1`
`y= 1/sqrt3 x - 1`
`or sqrt3 y = x - sqrt3`
option 1 is correct Answer