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AP EAMCET202123 Aug 2021Morning ShiftMathematicsStraight LinesActual

If ( , ) is the image of the point (3,-4) with respect to the line 4 x-y-1=0 , then the value of - is equal to

Options

  1. A-31 17
  2. B-107 17
  3. C31 17
  4. D13 71

Correct answer

C. 31 17

Step-by-step solution

Let the image be P( , ) of (3,-4) with respect to line 4 x-y-1=0 . Thus, aligned & -3 4 = +4 -1 = -2(12+4-1) 4^2+(-1)^2 =- 30 17 & -3 4 = -30 17 = -69 17 aligned aligned & and +4 -1 = -30 17 = -38 17 & - = -38 17 + 69 17 = 31 17 & - =31 / 17 aligned

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