anonymous
  • anonymous
let, ax^2 + by^2 + 2hxy + 2gx + 2fy + c = 0 be a curve. If h^2 = ab, then prove that the curve is a parabola.
Mathematics
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SOLVED
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katieb
  • katieb
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dumbcow
  • dumbcow
for the curve to be a parabola, either a or b must be 0, since h^2 = ab then h is 0 Let b=0 -->ax^2 +2gx +2fy +c = 0 this is a vertical parabola
anonymous
  • anonymous
This is just a special case. for given condition, the curve must represent parabola with focus at any point and any directrix .. anyway thanks for try

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