NCERT Solutions for Class 11 Maths Chapter 11 – Conic Sections
NCERT Solutions for Class 11 Maths Chapter 11 will increase the level of understanding about cones and its sections. Using these NCERT Solutions students can easily score maximum marks in the exams. It covers all the exercises given in the book and follows the latest guidelines of CBSE.
This article deals with NCERT Solutions for Class 11 Maths for Chapter 11. Maths is a generally difficult subject. As students go into class 11 it gets even more difficult. However, students need not worry since NCERT Solutions are here to help. The main objective of NCERT Solutions is providing high-quality study material. Furthermore, the explanation of the content in NCERT Solutions is in a very nice manner. These solutions are certainly self-explanatory. Also, there are exercises and questions between the chapters. Similarly, these exercises and questions also occur at the end of the chapters.
NCERT Solutions for Class 11 Maths Chapter 11 Conic Sections is very important for the students of 11th class to clear their doubts and for solving problems related to 3-D shapes. These will also help students to frame a better understanding of all the equation-based solutions effectively.
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CBSE Class 11 Maths Chapter 11 – Conic Sections NCERT Solutions
In this chapter, students learn about various geometrical shapes like circle, ellipse, parabola, and hyperbola. These shapes are in 2-D and 3-D both. These are sections of cones. Students can score full marks in the questions from this chapter by solving all the questions present in the NCERT textbook.
NCERT Solutions for Class 11 Maths Chapter 11 Conic Sections is all about the representation of standard equations of various shapes like circle, parabola, etc. We provide derivations of equations and solutions in an easy and self-explanatory way. NCERT Solutions for Class 11 Maths Chapter 11 Conic Sections will also help students to understand the basic and fundamental theorems.
Sub-topics covered under NCERT Solutions for Class 11 Maths Chapter 11
- 11.1 Introduction
- 11.2 Sections of a Cone
- 11.2.1 Circle, ellipse, parabola and hyperbola
- 11.2.2 Degenerated conic sections
- 11.3 Circle
- 11.4 Parabola
- 11.4.1 Standard equations of parabola
- 11.4.2 Latus rectum
- 11.5 Ellipse
- 11.5.1 Relationship between semi-major axis, semi-minor axis and the distance of the focus from the center of the ellipse
- 11.5.2 Special cases of an ellipse
- 11.5.3 Eccentricity
- 11.5.4 Standard equations of an ellipse
- 11.5.5 Latus rectum
- 11.6 Hyperbola
- 11.6.1 Eccentricity
- 11.6.2 Standard equation of Hyperbola
- 11.6.3 Latus rectum
NCERT Solutions for Class 11 Maths Chapter 11
NCERT Solutions for Class 11 Maths Chapter 11 Conic Sections will guide students to understand this interesting topic from solid geometry. This study of the conic sections of Class 11 enables the students to understand the terms ad with different shapes. Various suitable examples will create a solid view of the 3-D shapes of the objects.
Let us discuss the sub-topics in detail.
All curves are conic sections or more commonly conics because plane intersects the double-napped right circular cone and creates these conics.
11.2: Sections of a Cone
The intersection of a cone by a plane will give different shapes. These are given as follows.
11.2.1: Circle, ellipse, parabola, and hyperbola
The student will study the graphical representations of these shapes.
11.2.2: Degenerated conic sections
When the plane cuts at the vertex of the cone then we get following shapes.
It is the set of all points in a plane that are equidistant from a fixed point in the plane. The student will learn its standard equation.
It is the set of all points in a plane which are equidistant from a fixed-line and also a fixed point in the plane.
11.4.1: Standard equations of a parabola
The student will learn the standard equation of a parabola in all four variants.
11.4.2: Latus rectum
Latus rectum is in a parabola. It is a line segment perpendicular to the axis of the parabola passing through the focus with endpoints lies on the parabola
It is the set of all points in a plane and the sum of whose distances from two given fixed points in the plane is constant.
11.5.1: Relationship between semi-major axis, semi-minor axis and the distance of the focus from the center of the ellipse
The student will learn about the relationship between some points of the ellipse.
11.5.2: Special cases of an ellipse
The student will learn some special cases of an ellipse
It is the ratio of the distances from the center of the ellipse to one of the foci and to any one of the vertices of the ellipse.
11.5.4: Standard equations of an ellipse
The student will learn the standard equation of an ellipse in all variants.
11.5.5: Latus rectum
For an ellipse, it is a line segment perpendicular to the major axis through any of the foci, whose endpoints lie on the ellipse.
It is the set of points in a plane where the difference of distances from two fixed points in the plane is a constant
It is similar to an ellipse.
11.6.2: Standard equation of Hyperbola
The student will learn the standard equation of a hyperbola in all variants.
11.6.3: Latus rectum
For hyperbola, it is a line segment perpendicular to the transverse axis through any of the foci and whose endpoints lie on the hyperbola.
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