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MHT CET202012 Oct 2020Morning ShiftMathematicsPair of LinesActual

The auxiliary equation of the lines passing through the origin and having slopes 3 +1 and 3 -1 is

Options

  1. Am²-2 3 m+2=0
  2. Bm²-2 3 m-2=0
  3. Cm²+2 3 m-2=0
  4. Dm²+2 3 m+2=0

Correct answer

A. m²-2 3 m+2=0

Step-by-step solution

Equations of required lines are y=( 3 +1) x and y=( 3 -1) x their joint equation is [( 3 +1) x-y][( 3 -1) x-y]=0 2 x²-2 3 x y+y²=0 Dividing both sides by x² , we get aligned ( y x )²-2 3 y x +2 &=0 m²-2 3 m+2 &=0 aligned

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