Table of Contents
Subject specialists have created NCERT Exemplar Solutions for Class 11 Maths Chapter 11:Conic sections, which includes thorough solutions for reference. All of the unsolved questions from the textbook’s exercises are answered here. The NCERT Exemplar Solutions for Class 11 provide useful solutions for improving conceptual knowledge and also help in entrance examinations like JEE mains and advanced.
NCERT Exemplar Solutions for Class 11 Maths Chapter 11 – Conic Sections
The solutions are carefully solved using student-friendly terms while still adhering to the norms that must be followed when solving NCERT Exemplar 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.
Chapter 11 Conic Sections of NCERT Exemplar 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
Therefore the number of questions available in the exercises of Chapter 11 is listed below:
Exercise 11.1 Solutions 15 Questions
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 Exemplar Solutions for Class 11 Maths Chapter 11- Conic Sections
In this section, students learn about the topic Conic Sections that belongs to the unit Coordinate Geometry, It is important as it adds up to 10 marks out of 80 marks. Therefore there are 4 exercises and one miscellaneous exercise in this chapter. The concepts that covered in this Chapter of NCERT Exemplar Solutions for Class 11 chapter 11 Maths are listed below.
Chapter 11- Conic Sections
- 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 also 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 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 perpendicular to the major axis through any of the foci and whose endpoints lie on the ellipse 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 known as the eccentricity of an ellipse.
After studying the Conic Sections of Class 11 students 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.
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