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AP EAMCET202318 May 2023Morning ShiftMathematicsStraight LinesActual

A ray of light incident along a line, meets another line 7 x-y+1=0 at the point (0,1) and it is then reflected from this point along the line y+2 x=1 . Then the equation of the line of incidence of the ray of light is

Options

  1. A41 x-25 y+25=0
  2. B41 x+38 y+38=0
  3. C41 x-38 y+38=0
  4. D41 x+25 y-25=0

Correct answer

A. 41 x-25 y+25=0

Step-by-step solution

Let the slope of incident ray be m Angle of incidence = angle of reflection | m-7 1-7 m |= | -2-7 1-14 |= 9 13 m-7 1-7 m = 9 13 aligned & 13 m-91=9+63 m or 13 m-91=-9-63 m & 50 m=-100 or 76 m=82 & m=- 1 2 or m= 41 38 aligned When m= 41 38 The required equation of line is: y-1= 41 38 (x-0) 41 x-25 y+25=0

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