http://en.wikipedia.org/wiki/Quadratic_equation

Here is a ton of info, read through it and just jot down what you think.

Hope this helps! 🙂

No claim to being any kind of mathematician. Quite pedestrian. Still …

The general equation of the second degree is:

ax^2 + 2hxy +by^2 + 2gx + 2fy + c = 0

This can represent all the sections of a cone by a plane depending on the coefficients.

The sections are:

1. Pair of straight lines. (Section by a plane through the apex of the cone)

2. Circle.(Section by a plane parallel to the base)

3. Ellipse. (Section by a plane not parallel to the base and not intersecting it)

4. Parabola.(Section by a plane not parallel to the base and passing through a diameter of the base)

5. Hyperbola.(Section by a plane parallel to the perpendicular through the apex of the cone to the base)

Find out the conditions to be satisfied by the coefficients to meet each of the above to round off the discussion.

No declare to being any sort of mathematician. extremely pedestrian. in spite of the incontrovertible fact that … the in basic terms acceptable equation of the 2nd degree is: ax^2 + 2hxy +with the aid of way of^2 + 2gx + 2fy + c = 0 this would symbolize each and every and all the sections of a cone with the aid of way of a airplane reckoning on the coefficients. The sections are: a million. Pair of promptly strains. (area with the aid of way of a airplane contained in direction of the apex of the cone) 2. Circle.(area with the aid of way of a airplane parallel to the backside) 3. Ellipse. (area with the aid of way of a airplane not parallel to the backside and not intersecting it) 4. Parabola.(area with the aid of way of a airplane not parallel to the backside and passing with the aid of way of a diameter of the backside) 5. Hyperbola.(area with the aid of way of a airplane parallel to the perpendicular contained in direction of the apex of the cone to the backside) stumble on out the situations to be happy with the aid of way of the coefficients to fulfill each and every and all the above to around off the communicate.

it lets you find what will work pretty easily…saves time…means you can screw up on graphing the anwser sooner