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Manipal MET2019MathematicsStraight Lines

The equation of bisectors of the angles between the lines |x|=|y| are

Options

  1. Ay= x and x=0
  2. Bx= 1 2 and y= 1 2
  3. Cy=0 and x=0
  4. DNone of the above

Correct answer

C. y=0 and x=0

Step-by-step solution

The equation of lines are x+y=0 and x-y=0 The equation of bisectors of the angles between these lines are x+y 1+1 = x-y 1+1 x+y= (x-y) ...(ii) Taking'+ ve sign, we get y=0 . Taking - ve sign, we get x=0 . Hence the equation of bisectors are x=0, y=0 .

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