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MHT CET202020 Oct 2020Morning ShiftMathematicsPair of LinesActual

The joint equation of two lines through the origin each making an angle of 30^ with the Y - axis is

Options

  1. Ax²-3 y²=0
  2. Bx²+3 y²=0
  3. Cx²-y²=0
  4. D2 x²-3 y²=0

Correct answer

C. x²-y²=0

Step-by-step solution

Slope of lines are =m₁= 60^ = 3 and m ₂= 120^ = (90^ +30^ )=- 3 Their equations are y= 3 x and y=- 3 x i.e. 3 x-y=0 and 3 x+y=0 Joint equation is ( 3 x-y)( 3 x+y)=0 3 x²-y²=0

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