NCERT Solution Class 11 Chapter 11- Conic Sections

NCERT Solutions For Class 11 Maths Chapter 11 PDF Free Download

NCERT Solutions for Class 11 Maths Chapter 11 Conic Sections are provided here to enhance the Maths exam preparation for the students as well as to score better marks. The expert Maths teacher has developed these NCERT Solutions for Chapter 11 in accordance with the updated syllabus of CBSE Class 11. Moreover, the solutions have been developed in various ways to match the understanding level of the students so that they can grasp the difficult Maths concepts with ease.

Chapter 11 aggregates some of the quintessential topics such as Introduction to Conic Sections, Sections of a Circle as well as Circle, Parabola, Hyperbola, and Ellipse. So, in order to develop a thorough insight into all these topics, students can rely on NCERT Solutions. Using these solutions, the students can practice a more significant number of challenging questions from the Chapter to enhance their question-solving skills.

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NCERT Solutions for Class 11 Maths Chapter 11- Conic Sections

Chapter 11 Conic Sections of NCERT Solutions for Class 11 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

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

The chapter Conic Sections belongs to the unit Coordinate Geometry, that adds up to 10 marks of the total 80 marks. The number of exercises is four and a miscellaneous exercise, adding to 5 exercises in total. Provided below are the concepts covered in this Chapter of NCERT Solutions for Class 11 Maths.

  1. A circle is the set of all points in a plane that are equidistant from a fixed point in the plane.
  2. The equation of a circle with centre (h, k) and the radius r is (x – h)2 + (y – k)2 = r2 .
  3. A parabola is the set of all points in a plane that are equidistant from a fixed line and a fixed point in the plane.
  4. The equation of the parabola with focus at (a, 0) a > 0 and directrix x = – a is y2 = 4ax.
  5. Latus rectum of a parabola is a line segment perpendicular to the axis of the parabola, through the focus and whose endpoints lie on the parabola.
  6. Length of the latus rectum of the parabola y2 = 4ax is 4a.
  7. An ellipse is the set of all points in a plane, the sum of whose distances from two fixed points in the plane is a constant.
  8. The equation of an ellipse with foci on the x-axis.
  9. Latus rectum of an ellipse is a line segment perpendicular to the major axis through any of the foci and whose endpoints lie on the ellipse.
  10. Length of the latus rectum of the ellipse.
  11. The eccentricity of an ellipse is 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.
  12. A hyperbola is the set of all points in a plane, the difference of whose distances from two fixed points in the plane is a constant.
  13. The equation of a hyperbola with foci on the x-axis.
  14. Latus rectum of hyperbola is a line segment perpendicular to the transverse axis through any of the foci and whose endpoints lie on the hyperbola.
  15. Length of the latus rectum of the hyperbola.
  16. The eccentricity of a hyperbola is 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.

Studying the Conic Sections of Class 11 enables the students to get a strong knowledge of the concepts of 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. The students would also be able to understand the standard equations and simple properties of parabola, ellipse, hyperbola and circle.

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