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AP EAMCET202119 Aug 2021Evening ShiftMathematicsPair of LinesActual

Find the angle between the pair of lines represented by the equation x 2 + 4 x y + y 2 = 0 .

Options

  1. A30 ∘
  2. B45 ∘
  3. C60 ∘
  4. D90 ∘

Correct answer

C. 60 ∘

Step-by-step solution

We have the equation of a pair of a straight lines x 2 + 4 x y + y 2 = 0   , So, the angle between the pair of straight lines is θ = tan - 1 2 2 2 - 1 1 + 1 = tan - 1 3 = 60 °

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