# CBSE Class 11 Mathematics Conic Sections Notes

Download CBSE Class 11 Mathematics Conic Sections Notes in PDF format. All Revision notes for Class 11 Mathematics have been designed as per the latest syllabus and updated chapters given in your textbook for Mathematics in Class 11. Our teachers have designed these concept notes for the benefit of Class 11 students. You should use these chapter wise notes for revision on daily basis. These study notes can also be used for learning each chapter and its important and difficult topics or revision just before your exams to help you get better scores in upcoming examinations, You can also use Printable notes for Class 11 Mathematics for faster revision of difficult topics and get higher rank. After reading these notes also refer to MCQ questions for Class 11 Mathematics given on studiestoday

## Revision Notes for Class 11 Mathematics Chapter 11 Conic Sections

Class 11 Mathematics students should refer to the following concepts and notes for Chapter 11 Conic Sections in Class 11. These exam notes for Class 11 Mathematics will be very useful for upcoming class tests and examinations and help you to score good marks

### Chapter 11 Conic Sections Notes Class 11 Mathematics

Key Concepts

1. Let l  be a fixed vertical line and m be another line intersecting it at a fixed point V and inclined to it at and angle a

On rotating the line m around the line l in such a way that the angle a remains constant a surface is generated is a double-napped right circular hollow cone.

2. The point V is called the vertex; the line l is the axis of the cone. The rotating line m is called a generator of the cone. The vertex separates the cone into two parts called nappes.

3. The sections obtained by cutting a double napped cone with a plane are called conic sections. Conic sections are of two types (i) degenerate conics (ii) non degenerate conics.

4. If the cone is cut at its vertex by the plane then degenerate conics are obtained.

5. If the cone is cut at the nappes by the plane then non degenerate conics are obtained.

6. Degenerate conics are point, line and double lines.

7. Circle, parabola, ellipse and hyperbola are degenerate conics.

8. When the plane cuts the nappes (other than the vertex) of the cone,degenerate conics are obtained.

(a) When β = 90o , the section is a circle.

The plane cuts the cone horizontally.

(b) When α < β < 90o, the section is an ellipse.

The plane cuts one part of the cone in an inclined manner

(c) When β = α; the section is a parabola.

The plane cuts the cone in such a way that it is parallel to a generator

(d) When 0 ≤  β < α; the plane cuts through both the nappes the curve of intersection is a hyperbola.

The plane cuts both parts of the cone.

9. When the plane cuts at the vertex of the cone, we have the following different cases:

(a) When α <β  900, then the section is a point.

(b) When β = α, the plane contains a generator of the cone and the section is a straight line.

It is the degenerated case of parabola.

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### CBSE Class 11 Mathematics Chapter 11 Conic Sections Notes

We hope you liked the above notes for topic Chapter 11 Conic Sections which has been designed as per the latest syllabus for Class 11 Mathematics released by CBSE. Students of Class 11 should download and practice the above notes for Class 11 Mathematics regularly. All revision notes have been designed for Mathematics by referring to the most important topics which the students should learn to get better marks in examinations. Studiestoday is the best website for Class 11 students to download all latest study material.

### Notes for Mathematics CBSE Class 11 Chapter 11 Conic Sections

Our team of expert teachers have referred to the NCERT book for Class 11 Mathematics to design the Mathematics Class 11 notes. If you read the concepts and revision notes for one chapter daily, students will get higher marks in Class 11 exams this year. Daily revision of Mathematics course notes and related study material will help you to have a better understanding of all concepts and also clear all your doubts. You can download all Revision notes for Class 11 Mathematics also from www.studiestoday.com absolutely free of cost in Pdf format. After reading the notes which have been developed as per the latest books also refer to the NCERT solutions for Class 11 Mathematics provided by our teachers

#### Chapter 11 Conic Sections Notes for Mathematics CBSE Class 11

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#### Chapter 11 Conic Sections CBSE Class 11 Mathematics Notes

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#### Notes for CBSE Mathematics Class 11 Chapter 11 Conic Sections

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