Aoa!

After reading this you will be able to understand the concept of **conic section**.

So, firstly we will discuss about word **conic section**.

The word **conics** describe a concept of a cone. Now you must understand that what a cone is.

**Cone:**

** **A cone is a three dimensional geometrical shape which tappers smoothly from its circular base towards its point.

Now we will define section.

**Section:**

** **Section means that parts. So, after that we concluded that the word **Conic section **means that the parts of a cone.

After this you must understand the concept of plane that what is a plane???

**Plane:**

A two (2) dimensional surface with zero thickness and which extends infinitely that surface is called as plane.

Now we will discuss that what Double Right Circular Cone is**.**

**Double Right Circular Cone**:

When a straight line intersects a fixed vertical line from a fixed point and rotates about that point then we obtained a surface which is called as Double Right Circular Cone.

Now we will define that what Conic Section is.

**Conic Section:**

When a plane intersects a Double Right Circular Cone, we obtain a 2 two Dimensional curves of different types So, those curves are called as **Conics **or **Conic Section.**

Now we will discuss about the types of conics or conic section.

- Ellipse
- Circle(Special case of ellipse)
- Parabola
- Hyperbola

**Ellipse:**

When a plane intersects the double right circular cone in such a way that angle between axis and plane is greater than vertex angle or 90 degree so, we obtain a curve called ellipse.

**Circle:**

When the intersecting plane is perpendicular to the axis of the cone so, we obtained a closed curve called as circle

Or

When angle between axis of cone and plane is 90 degree then a curve is obtained that is called as Circle.

**Parabola:**

When an intersecting plane is exactly parallel to generator line we can get a open curve called as Parabola.

Or

When angle between axis of cone is greater than 90 degree so, it is formed as Parabola.

**Hyperbola:**

When axis of cone and plane are parallel to each other and cut the cone then a curve is obtained called as Hyperbola.

Or

When plane intersects a double right circular cone in such a way that angle between axis and plane is less than vertex angle so, we obtain a curve called as Hyperbola.