NCERT Solution Class 11 Chapter 11- Conic Sections

NCERT Solutions For Class 11 Maths Chapter 11 PDF Free Download

The NCERT solutions for the questions given in Chapter 11, Conic Sections, of the Class 11 NCERT textbooks are available here. In this chapter students learn about Conic Sections in detail. Students can easily score full marks in the questions from this chapter by solving all the questions present in the NCERT textbook.

The Class 11 NCERT solutions for Conic Sections are very easy to understand. These solutions cover all the exercise questions included in the book and are according to the latest guidelines of CBSE. Here, the PDF of the Class 11 maths Chapter 11 NCERT solutions is available which can be downloaded and referred in online mode. Students can also avail these NCERT solutions and download it for free to practice them offline as well.

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NCERT Solutions for Class 11 Maths Chapter 11- Conic Sections

The major concepts of Maths covered in Chapter 11- Conic Sections of NCERT Solutions for Class 11 includes:

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. There are 4 exercises along with a miscellaneous exercise in this chapter to help students understand the concepts related to Conic Sections clearly. Some of the topics discussed in Chapter 11 of NCERT Solutions for Class 11 Maths are as follows:

  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.

Key Features of NCERT Solutions for Class 11 Maths Chapter 11- Conic Sections

Studying the Conic Sections of Class 11 enables the students to understand the following:

Sections of a cone: circles, ellipse, parabola, hyperbola, a point, a straight line and a pair of intersecting lines as a degenerated case of a conic section. Standard equations and simple properties of parabola, ellipse and hyperbola.Standard equation of a circle.

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