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MHT CET202019 Oct 2020Morning ShiftMathematicsPair of LinesActual

The joint equation of bisectors of the angle between the lines represented by 3 x²+2 x y-y²=0 is

Options

  1. Ax²-4 x y-y²=0
  2. Bx²+4 x y-y²=0
  3. Cx²-4 x y+y²=0
  4. Dx²+4 x y+y²=0

Correct answer

A. x²-4 x y-y²=0

Step-by-step solution

(D) Equation of lines is 3 x²+2 x y-y²=0 . Comparing with a x²+2 h x y+b y²=0 , we write a=3 . h=1 . b=-1 Combined equation of pair of angle bisectors of given lines is aligned & x²-y² a-b = x y h & x²-y² 3-(-1) = x y 1 x²-y² 4 =x y & x²-4 x y-y²=0 aligned

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