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MHT CET20225 Aug 2022Evening ShiftMathematicsPair of LinesActual

The joint equation of pair of lines which bisects the angle between the lines x^2+3 x y+2 y^2=0 is

Options

  1. A3 x^2-r 4 e g h 2 x y-3 y^2=0
  2. B3 x^2+2 x y-3 y^2=0
  3. C2 x^2-3 x y-2 y^2=0
  4. D2 x^2+3 x y-2 y^2=0

Correct answer

B. 3 x^2+2 x y-3 y^2=0

Step-by-step solution

Equation of angle bisector of ax ^2+2 hxy + by ^2=0 is given by aligned & x-y a-b = x y h & x^2-y^2 1-2 = x y 3 2 & -3 x^2+3 y^2=2 x y & 3 x^2+2 x y-3 y^2=0 aligned

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