Difference between parabola hyperbola and ellipse
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all 3 of these are locus of points
the first and foremost difference is in their shapes
second difference is of eccentricity
for parabola e =1
for eliipse 0<e<1
for hyperbola e>1
the first and foremost difference is in their shapes
second difference is of eccentricity
for parabola e =1
for eliipse 0<e<1
for hyperbola e>1
Answered by
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ellipse=a regular oval shape, traced by a point moving in a plane so that the sum of its distances from two other points (the foci) is constant, or resulting when a cone is cut by an oblique plane which does not intersect the base.
hyperbola=the set of points in a plane whose distances to two fixed points in the plane have a constant difference; a curve consisting of two distinct and similar branches, formed by the intersection of a plane with a right circular cone when the plane makes a greater angle with the base than does the generator of the cone.
parabola=
a symmetrical open plane curve formed by the intersection of a cone with a plane parallel to its side. The path of a projectile under the influence of gravity follows a curve of this shape.
hyperbola=the set of points in a plane whose distances to two fixed points in the plane have a constant difference; a curve consisting of two distinct and similar branches, formed by the intersection of a plane with a right circular cone when the plane makes a greater angle with the base than does the generator of the cone.
parabola=
a symmetrical open plane curve formed by the intersection of a cone with a plane parallel to its side. The path of a projectile under the influence of gravity follows a curve of this shape.
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