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AP EAMCET20227 Jul 2022Morning ShiftMathematicsStraight LinesActual

The equation of bisectors of the angle between the lines given by 3 x^2+5 x y+4 y^2=0 is

Options

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

Correct answer

B. x^2-y^2+ 2 5 x y=0

Step-by-step solution

The equation of the bisectors of the angle between the line 3 x^2+5 x y+4 y^2=0 is x^2-y^2 3-4 = x y 5 2 or x^2-y^2=- 2 5 x y i.e. x^2-y^2+ 2 5 x y=0

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