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MHT CET202015 Oct 2020Morning ShiftMathematicsPair of LinesActual

The separate equations of the lines represented by the equation 3 x²-2 3 x y-3 y²=0 are

Options

  1. Ax- 3 y=0 and 3 x+ 3 y=0
  2. Bx+ 3 y=0 and 3 x+ 3 y=0
  3. Cx- 3 y=0 and 3 x- 3 y=0
  4. Dx+ 3 y=0 and 3 x- 3 y=0

Correct answer

A. x- 3 y=0 and 3 x+ 3 y=0

Step-by-step solution

3 x²-2 3 x y-3 y²=03 x²-3 3 x y+ 3 x y-3 y²=0 3 x(x- 3 y)+ 3 y(x- 3 y)=0(3 x+ 3 y)(x- 3 y)=0 3 x+ 3 y=0, x- 3 y=0

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