text: A ray of light along x+3y=3 gets reflected upon reaching x- axis, the equation of the reflected ray is
  
  # A ray of light along $x+\sqrt{3}y=\sqrt{3}$ gets reflected upon reaching x- axis, the equation of the reflected ray is
  
  1. A
  
  $y=x+\sqrt{3}$
  
  2. B
  
  $\sqrt{3}y=x-\sqrt{3}$
  
  3. C
  
  $y=\sqrt{3}x-\sqrt{3}$
  
  4. D
  
  $\sqrt{3}y=x-1$
  
  Fill Out the Form for Expert Academic Guidance!l
  
  +91
  
  Live ClassesBooksTest SeriesSelf Learning
  
  Verify OTP Code (required)
  
  ### Solution:
  
  Given Equation $x+\sqrt{3}y=\sqrt{3}$
  
  Equation of x- axis is y = 0
  
  By solving the point is A
  
  $\begin{array}{l}A\left(\sqrt{3},\text{\hspace{0.17em}\hspace{0.17em}}0\right)\\ Slope\text{\hspace{0.17em}}=\text{\hspace{0.17em}}\frac{-1}{\sqrt{3}}\end{array}$
  
  The line makes an angle – 300 with x- axis
  
  Reflected line makes an angle 300 with x-aixs
  
  Let reflected line y = mx + c
  
  $\begin{array}{l}y=\text{\hspace{0.17em}}\left(\mathrm{tan}\text{\hspace{0.17em}}{30}^{0}\right)x+c\\ ⇒\text{\hspace{0.17em}}y=\frac{x}{\sqrt{3}}+c\\ If\text{\hspace{0.17em}\hspace{0.17em}}passes\text{\hspace{0.17em}}through\text{\hspace{0.17em}\hspace{0.17em}}\left(\sqrt{3},\text{\hspace{0.17em}\hspace{0.17em}}0\right)\\ ⇒\text{\hspace{0.17em}}0=\frac{\sqrt{3}}{\sqrt{3}}+c⇒\text{\hspace{0.17em}}c=-1\\ \therefore \text{\hspace{0.17em}\hspace{0.17em}}The\text{\hspace{0.17em}}line\text{\hspace{0.17em}\hspace{0.17em}}y=\frac{x}{\sqrt{3}}-1\\ ⇒\text{\hspace{0.17em}}\sqrt{3}y=x-\sqrt{3}\\ ⇒\text{\hspace{0.17em}}x-\sqrt{3}y-\sqrt{3}=0\end{array}$
  
  +91
  
  Live ClassesBooksTest SeriesSelf Learning
  
  Verify OTP Code (required)
metadata: {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 8, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0}