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JEE Main2012MathematicsStraight LinesActual

The line parallel to x -axis and passing through the point of intersection of lines a x+2 b y+3 b=0 and b x-2 a y-3 a=0 , where (a, b) (0,0) is

Options

  1. Aabove x -axis at a distance 2 / 3 from it
  2. Babove x -axis at a distance 3 / 2 from it
  3. Cbelow x -axis at a distance 3 / 2 from it
  4. Dbelow x -axis at a distance 2 / 3 from it

Correct answer

C. below x -axis at a distance 3 / 2 from it

Step-by-step solution

Given lines are a x+2 b y+3 b=0 and b x-2 a y-3 a=0 Since, required line is | to x -axis x=0 We put x=0 in given equation, we get 2 b y=-3 b y=- 3 2 This shows that the required line is below x -axis at a distance of 3 2 from it.

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