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AP EAMCET202422 May 2024Evening ShiftMathematicsPair of LinesActual

If the slope of one of the lines in the pair of lines 8 x^2+a x y+y^2=0 is thrice the slope of the second line, then a=

Options

  1. A8 2 3
  2. B6
  3. C16 2
  4. D3 2 5

Correct answer

A. 8 2 3

Step-by-step solution

8 x^2+a x y+y^2=0 Let m₁ and m₂ be two slopes Since given equation is homogeneous m₁+m₂= -a 1 and m₁ m₂=8 ; Since m₁=3 m₂ 3 m₂+m₂=- a 4 m₂=- a ...(i) and 3 m₂^2=8 m₂= 8 3 So, from (i), -4 8 3 =-a a=8 2 / 3

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