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AP EAMCET20226 Jul 2022Morning ShiftMathematicsParabolaActual

The parabola with focus at (4,-3) and vertex at (4,-1) is

Options

  1. Ax ^2+8 x +6 y +22=0
  2. Bx^2-8 x-10 y+6=0
  3. Cx^2-8 x-16 y=0
  4. Dx^2-8 x+8 y+24=0

Correct answer

D. x^2-8 x+8 y+24=0

Step-by-step solution

Since points (4,-3) and (4,-1) lie on the line x= 4. So axis of parabola is the line x=4 . Focus of the parabola lies below the vertex. So the parabola is downwards. a = (4-4)^2+(-3+1)^2 (distance between focus and vertex. =2 Equation of parabola is aligned & (x-4)^2=-4(2)(y+1) & x^2-8 x+8 y+24=0 aligned

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