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Paragraph: A ray of light strikes a line mirror y=0 along the line L₁: x-3 y=1 and reflects along the line L₂=0 . There is another line mirror x-4=0 in the way of reflected ray. After 2nd reflection ray moves along the line L ₃=0 and finally it travels in the direction of the line L ₄=0 after 3rd reflection from line mirror y+2=0 . On the basis of above informations, answer the following questions: Question: Equation

Options

  1. Ax-3 y=7
  2. Bx+3 y=1
  3. Cx+3 y+5=0
  4. Dx+3 y-5=0

Correct answer

C. x+3 y+5=0

Step-by-step solution

After I^ st reflection, equation of L₂=0 is Slope =-1 / 3 and point (1,0)y-0=- 1 3 (x-1) x+3 y=1 point of incidence on the mirror x-4=0 is (4,-1) . Equation of L₃=0 is y+1= 1 3 (x-4)x-3 y=7 again point of incidence on the line mirror y +2=0 is (1,-2) equation of L₄=0 is aligned & y+2=- 1 3 (x-1) & x+3 y+5=0 aligned

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