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AP EAMCET202120 Aug 2021Morning ShiftMathematicsPair of LinesActual

The acute angle between lines 6 x 2 + 11 x y - 10 y 2 = 0 is

Options

  1. Atan - 1 361 2
  2. Btan - 1 361 4
  3. Ctan - 1 361 2
  4. Dtan - 1 361 4

Correct answer

B. tan - 1 361 4

Step-by-step solution

Acute angle between pair of straight lines a x 2 + 2 h x y + b y 2 = 0 is given by tan θ = 2 h 2 - a b a + b By comparing the given equation of lines with a x 2 + 2 h x y + b y 2 = 0 we get a = 6 , b = - 10 , h = 11 2 Then, tan θ = 2 121 4 + 60 - 4 = 361 - 4 ⇒ θ = tan - 1 361 4

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