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AP EAMCET20226 Jul 2022Morning ShiftMathematicsStraight LinesActual

The family of lines, forming an isosceles triangle with the lines 3 x-4 y-2=0 and 12 x-5 y+6=0 , is

Options

  1. A9 x +7 y + c =0
  2. B7 x -9 y + c =0
  3. C9 x-7 y+c=0
  4. Dx y+c=0

Correct answer

C. 9 x-7 y+c=0

Step-by-step solution

We know that obtuse bisector of equal sides of a triangle is parallel to third side. aligned & 3 x-4 y-2 9+16 =- 12 x-5 y+6 144+25 & 3 x-4 y-2 5 = -12 x+5 y-6 13 & 39 x-52 y-26=-60 x+25 y-30 & 39 x-77 y+4=0 & 9 x-7 y+(4 / 11)=0 aligned Equation of line parallel to above line is 9 x-7 y+c=0

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