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AP EAMCET202422 May 2024Morning ShiftMathematicsPair of LinesActual

The transformed equation of x^2-y^2+2 x+4 y=0 when the origin is shifted to the point (-1,2) is

Options

  1. Ax^2+y^2=1
  2. Bx^2+3 y^2=1
  3. Cx^2-y^2+3=0
  4. D4 x^2+9 y^2=36

Correct answer

C. x^2-y^2+3=0

Step-by-step solution

x^2-y^2+2 x+4 y=0 Origin is shifted to (-1,2) , Let x=X-1, y=Y+2 aligned & (X-1)^2-(Y+2)^2+2(X-1)+4(Y+2)=0 & X^2-Y^2+3=0 aligned

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