Subject specialists have created NCERT Solutions for Class 11 Maths Chapter 11:Conic sections, which include thorough solutions for reference. All of the questions from the textbook’s exercises are answered here. Students can use these answers to help them prepare for their exams. The NCERT Solutions for Class 11 provide useful solutions for improving conceptual knowledge.
The solutions are carefully solved using student-friendly terms while still adhering to the norms that must be followed when solving NCERT Solutions for Class 11. Practicing these answers can be incredibly advantageous not only in terms of exams but also in terms of helping Class 11 pupils perform well in upcoming competitive exams.
The approaches for answering have been given special consideration to stay on target while not deviating from the intended answer. Because time is so important in exams, excellent time management when answering questions is essential for getting the best results.
NCERT Solutions for Class 11 Maths Chapter 11- Conic Sections
Chapter 11 Conic Sections of NCERT Solutions for Class 11 Maths covers the topics listed below:
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 centre 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
The number of questions available in the exercises of Chapter 11 is listed below:
Exercise 11.1 Solutions 15 Questions
Exercise 11.2 Solutions 12 Questions
Exercise 11.3 Solutions 20 Questions
Exercise 11.4 Solutions 15 Questions
Miscellaneous Exercise On Chapter 11 Solutions 8 Questions
NCERT Solutions for Class 11 Maths Chapter 11- Conic Sections
In this section, students learn about the topic Conic Sections that belong to the unit Coordinate Geometry, It is important as it adds up to 10 marks out of 80 marks. There are 4 exercises and one miscellaneous exercise in this chapter. The concepts that are covered in this Chapter of NCERT Solutions for Class 11 chapter 11 Maths are listed below.
- In a plane, the set of all points in a plane that are equidistant from a fixed point represents a circle.
- The equation of a circle with centre and the radius r is
- In a plane, the set of all points in a plane that are equidistant from a fixed line and a fixed point represents a parabola.
- The general equation of the parabola with focus at and directrix is
- In a parabola, a line segment that is perpendicular to the axis of the parabola and passes through the focus and whose endpoints lie on the parabola are known as the latus rectum.
- For the parabola the length of the latus rectum is
- In a plane, the set of all points, the sum of whose distances from two fixed points is constant represents an ellipse.
- The equation of an ellipse with foci on the x-axis.
- A line segment that is perpendicular to the major axis through any of the foci and whose endpoints lie on the ellipse is known as the Latus rectum of an ellipse.
- Length of the latus rectum of the ellipse.
- The ratio between the distances from the centre of the ellipse to one of the foci and to one of the vertices of the ellipse is known as the eccentricity of an ellipse.
- In a plane, the set of all points the difference of whose distances from two fixed points is constant represents a hyperbola.
- The equation of a hyperbola with foci on the x-axis.
- A line segment that is perpendicular to the transverse axis through any of the foci and whose endpoints lie on the hyperbola is known as the latus rectum of the hyperbola.
- Length of the latus rectum of the hyperbola.
- The ratio of the distances from the centre of the hyperbola to one of the foci and to one of the vertices of the hyperbola is known as the eccentricity of a hyperbola.
After studying the Conic Sections of Class 11 students are enabled to get in-depth knowledge of the Sections of a cone: circles, ellipse, parabola, hyperbola, a point, a straight line, and a pair of intersecting lines as a degenerate case of a conic section. It also helps the students to understand the standard equations along with the properties of parabola, ellipse, hyperbola, and circle.
Frequently Asked Questions on NCERT Solutions for Class 11 Maths Chapter 11
- How many topics does Chapter 11 of NCERT Solutions for Class 11 Maths cover?
- How to score good marks in Chapter 11 of NCERT Solutions for Class 11 Maths?
- Do the NCERT Solutions for Class 11 Maths Chapter 11 provide accurate solutions as per the second term CBSE Syllabus?
1. How many topics does Chapter 11 of NCERT Solutions for Class 11 Maths cover?
The solutions of the NCERT textbook for Class 11 Maths Chapter 11 Conic Section consists of the topics like a hyperbola, ellipse, etc. In the introduction section, overall concepts which are important for the term – II exams are discussed. There are also some sub-topics like standard equations of parabola, degenerate conic sections, latus rectum, ellipse, etc.
2. How to score good marks in Chapter 11 of NCERT Solutions for Class 11 Maths?
The Conic Sections is one of the important chapters in Class 11 Mathematics. After completing the core areas, it is easy for students to solve exercise-wise problems. Going through the problems solved in this chapter the analytical and logical thinking skills of students get improved. The selection of good study material also plays an important role in scoring good marks in Class 11 first and second term exams. The NCERT Solutions are mainly created to help students to enhance the knowledge in which they are lagging.
3. Do the NCERT Solutions for Class 11 Maths Chapter 11 provide accurate solutions as per the second term CBSE Syllabus?
In Mathematics, accuracy is an important factor and regular practice is needed to achieve that. Out of various study materials available online, the selection of the correct one is a challenging task. By opting for the study material which completely focuses on the term – II CBSE Syllabus, students will be able to understand the concepts which are important for the exam perspective.
