Class 11 maths chapter 11 Conic Sections is very important for making a strong base in coordinate geometry. Students will learn all the curved 1-dimensional geometrical figures and their application along with formulas. This chapter of Conic Sections will increase the level of understanding about cones and its sections. Conic Sections are the curves formed by the intersection of a plane with the two napped right circular cone. Due to this intersection, different types of curves are formed from different angles. Thus we may say that if we slice the 3-D cone in pieces it may be cut in different shapes and these shapes will form some curves. These are popular as Conic Sections, here sections mean the slice of the cone. Conic sections formulas will definitely improve the u\level of understanding and geometrical exposures among the students.

We all are aware of the equation of the circle which is:

The centre-radius form of the circle equation is in the format (x – h)^{2} + (y – k)^{2} = r^{2}, with the centre is at the point (h, k) and the radius is “r”. This form of the equation will be helpful since we can easily find the centre and the radius.

These equations if the student understood thoroughly with the help of this chapter, will prove to be helpful when it comes to solving complex problems in future academics stages. Students will get to know about the parabola, ellipse, hyperbola, the circle with their applications and examples. These shapes are in 2-D as well as 3-D both. These are the sections of cones. The chapter will provide the derivations of equations and solutions in the easy and self-explanatory method. The chapter will also help students to understand the basic and fundamental theorems.

Some subtopics covered in this chapter are Sections of a Cone, Circle, ellipse, parabola, and hyperbola, Degenerated conic sections, Standard equations of parabola, Ellipse, Special cases of an ellipse, Eccentricity, Standard equations of an ellipse, Hyperbola and Standard equation of Hyperbola.

All curves are conic sections or more commonly conics because the plane intersects the double-napped right circular cone and creates these conics. The intersection of the cone by a plane will give many different shapes. The circle is the set of all points in the plane which are at the equal distance from a fixed point in the plane. The student will learn the standard equation for it. Parabola is the set of all points in a plane that is at the same distance from a fixed-line and also a fixed point in the plane. Similarly, an ellipse is the set of points in the plane and the sum of distances from two given fixed points in the plane will be constant. Hyperbola is the set of points in a plane where the difference of the distances from two fixed points in the plane will be constant.

Students will also learn and understand here about many important terms related to conic sections and their computational procedures. Some of these are Vertex, Generator, Axis, Directrix, Focus, Major Axis, Minor Axis, and Plane, etc.

Conic Sections will guide the students to understand this interesting topic from solid geometry. This study of the conic sections enables the students to understand the terms ad with different shapes. Various suitable examples given in the chapter will create a solid view of the 3-D shapes of the objects.