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AP EAMCET202420 May 2024Morning ShiftMathematicsStraight LinesActual

If the origin is shifted to a point P by the translation of axes to remove the y -term from the equation x^2-y^2+2 y-1=0 . then the transformed equation of it is

Options

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

Correct answer

B. x^2-y^2=0

Step-by-step solution

x^2+y^2+2 y-1=0 let x=X, y=Y+h X^2-(Y+h)^2+2(Y+h)-1=0 X^2-Y^2+2(1-h) Y-h^2+2 h-1=0 To remove y -term, h=1 X^2-Y^2=0 is the transformed equation

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