NCERT Solutions for Class 11 Maths Chapter 11 Miscellaneous Exercise

NCERT Solutions for Class 11 Maths Chapter 11 Miscellaneous Exercise: The NCERT Class 11 Maths Chapter 11 is Conic Sections. In this chapter, students will learn about the different types of curves like circle, ellipses, hyperbolas and parabolas. The chapter explains the concept how the intersection of a plane with a double napped right circular cone results in different types of curves. The NCERT Solutions for Class 11 Maths chapter 11 miscellaneous exercise has questions based on the above concepts.

The NCERT Solutions for Class 11 Maths Chapter 11 miscellaneous exercise has questions to help students solve problems based on different concepts taught in the chapter. Students should practice the miscellaneous exercise and all the in-text questions given in the NCERT Solutions, to score full marks in the Class 11 final exams. In this article, we have provided the Class 11 NCERT Solutions miscellaneous exercise in PDF format. Scroll down to know more.

NCERT Solutions for Class 11 Maths Chapter 11 Miscellaneous Exercise: Overview

The NCERT Class 11 Maths have been provided here in a PDF format. Students can download the pdf and start solving the questions offline and as per their convenience. The miscellaneous exercise chapter 11 Class 11 Maths are curated by Embibe’s subject special experts as per the latest CBSE guidelines and syllabus. We have provided a brief overview of the NCERT Solutions miscellaneous exercise chapter 11 Class 11 Maths for your information in the table below:

NCERT Solutions for Class 11 Maths Chapter 11 Miscellaneous Exercise PDF

Students are advised to practice the NCERT Solutions for Class 11 Maths Chapter 11 miscellaneous exercise as the questions will help them develop a strong base in the concept covered in the chapter. Solving the Class 11 NCERT solutions miscellaneous for Chapter 11, students will finding the focus of parabolic reflector, length of the side of a triangle, etc, and learn how to use appropriate concept and formulas while solving the questions. It can help them also solve more complex topics taught in higher classes and score full marks in the Maths examinations.

The miscellaneous questions asked in the NCERT books are added to introduce students to the type of questions that can be asked in the final exam. Students can download the NCERT Solutions for Class 11 Maths Chapter 11 miscellaneous exercise and solve all the questions. Students can then check their own solutions against the answers provided. Apart from downloading the solutions in PDF format, students can also solve the questions on the Embibe app of cost.

The simplified solutions with step-by-step answers are prepared by our experts to evolve the students’ basic concepts. Students can also easily gauge the paper pattern by referring to these solutions and prepare their study plan accordingly. We have provided the miscellaneous exercise chapter 11 Class 11 NCERT Exercise in PDF below:

NCERT Solutions for Class 11 Maths Chapter 11 Miscellaneous Exercise: About the Exercise

Students can start practising the exercise-based questions from NCERT books, and then they can further use the NCERT Solutions for Class 11 Maths chapter 11 PDFs provided here to know the correct steps and answers. NCERT solutions for Class 11 Maths Chapter 11 includes extra questions in miscellaneous exercise that will also help in practising the concepts from the chapter better.

The miscellaneous exercise chapter 11 Class 11 will assist students in understanding the different concepts better and ascertain in which concepts they need more basic clarity or practice. It is crucial for students to also study the detailed NCERT solutions for class 11 maths chapter 11 provided below. Students can also get the miscellaneous exercise chapter 11 class 11 NCERT solutions in Hindi medium. Students should first solve the concept-based exercises like exercise 11.1, exercise 11.2, and exercise 11.3 and then solve the miscellaneous exercise for an overall practice of the chapter.

Students can check the complete list of topics of NCERT solutions for class 11 Maths chapter 11 Conic Sections from the table below:

Topic no.

Topic name

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

NCERT Solutions for Class 11 Maths Chapter 11 Miscellaneous Exercise: Chapter Summary

The important points of chapter 11 Conic Sections can be summarised is the below-mentioned points:

A circle is a set of all the points that are in a plane, and are equidistant to each other from a fixed point in that plane.

The equation of a circle which has the centre as (h, k) and the radius r is (x – h)^{2} + (y – k)^{2} = r^{2} .

A parabola is a set of all the points in a plane, which are equidistant to each other from a fixed line and a fixed point in the plane.

The equation of the parabola which has its focus at (a, 0) a > 0 and directrix x = – a is y^{2} = 4ax.

Latus rectum of a parabola is that line segment which is perpendicular to the axis of the parabola, going through the focus and whose end points lie on the parabola.

The length of a latus rectum of the parabola y^{2} = 4ax is 4a.

An ellipse is said to be the set of all points in a plane, the sum of whose distances from two fixed points in the plane is a constant.

The equation of an ellipse with foci on the x-axis is x^{2}/a^{2} + y^{2}/b^{2} = 1.

Latus rectum of an ellipse is the line segment which is perpendicular to the major axis passing through any of the foci and whose end points lie on the ellipse.

Length of the latus rectum of the ellipse x^{2}/a^{2} + y^{2}/b^{2} = 1 is 2b^{2}/a .

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.

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.

The equation of a hyperbola with foci on the x-axis is : x^{2}/a^{2} – y^{2}/b^{2} = 1

Latus rectum of hyperbola is a line segment perpendicular to the transverse axis through any of the foci and whose end points lie on the hyperbola.

Length of the latus rectum of the hyperbola : x^{2}/a^{2} – y^{2}/b^{2} = 1 is 2b^{2}/a.

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.

Advantages of Solving the NCERT Solutions for Class 11 Maths Chapter 11 Miscellaneous Exercise

Below are some of the benefits of practising from the NCERT Class 11 Maths Chapter 11 miscellaneous exercise:

The NCERT Class 11 Maths miscellaneous questions Chapter 11 are curated as per the latest NCERT and CBSE instructions, and are prepared in comprehensive and easy-to-understand language for its readers.

The Class 11 NCERT solutions for Maths chapter 11 contain detailed description on every question so that students can get thorough understanding even while solving complex questions.

The Class 11 Maths chapter 11 NCERT Solutions for miscellaneous exercise creates a strong base to learn and understand more complicated geometric concepts to be studied in higher classes.

Solving the NCERT Solutions for Conic Sections can help students in improving their problem-solving speed and accuracy and prevent making silly mistakes in the exam.

With constant practice, students can memorise the formulas and concepts easily and solve the questions correctly. This can boost their exam confidence in the subject considerably.

The Embibe NCERT Solutions miscellaneous exercise chapter 11 class 11 is designed by the subject experts and candidates can access and download them at any time.

It has been seen on several occasions that questions are asked directly from the NCERT textbooks and Solutions. Thus, students who have practise these NCERT in-text questions and miscellaneous exercises, can score full marks in the final exam.

NCERT Solutions for Class 11 Maths: Download All Chapters PDF

The NCERT Solutions for Class 11 Maths are the best study material for students. It helps them in gathering conceptual understanding as they advance through the syllabus. We have provided the NCERT Solutions for Class 11 Maths in a chapter-wise format so that students can quickly learn the concepts for each chapter. Below are the chapter-list links to NCERT Class 11 Maths PDF:

FAQs on NCERT Solutions for Class 11 Maths Chapter 11 Miscellaneous Exercise

Here are some of the most frequently asked questions on NCERT Solutions for Class 11 Maths Chapter 11 miscellaneous exercise:

Q.1: Where can I download the pdf for miscellaneous exercise chapter 11 Class 11 NCERT Solutions?Ans: Students can download the Class 11 NCERT solutions Chapter 11 miscellaneous exercise in pdf format from this page for.

Q.2: Is practising the NCERT Solutions Class 11 Maths enough for final exam? Ans:The NCERT books are prescribed by the CBSE board for final exams, and are sufficient to prepare for the Class 11 Maths final exam.

Q.3: Can I learn the Mathematical concepts of Conic Sections by solving the miscellaneous questions of NCERT Solutions? Ans: Yes, solving the miscellaneous exercise from NCERT Solutions is helpful to learn the different concepts taught in the textbooks.

Q.4: What are the topics covered in the NCERT Solutions Class 11 Maths chapter 11? Ans. In NCERT Solutions Class 11 Maths chapter 11 students will learn about the circles, parabolas, hyperbolas and ellipses.

Q.5: What is the number of questions in the miscellaneous exercise chapter 11 Class 11 Maths? Ans: There are eight questions, each from different concepts covered throughout the chapter in the miscellaneous exercise chapter 11 Class 11 Maths.

Students should practice the NCERT Solutions for miscellaneous exercise chapter 11 Class 11 Maths to create a strong foundation in the topics. Students can also learn Conic Sections from Embibe’s 3D interactive video lessons, solve sample questions and take mock tests.

We hope this article on NCERT Solutions for Class 11 Maths Chapter 11 Miscellaneous exercise was useful to you. For any further doubts or queries, write to us in the comment below and we will get back to you at the earliest.

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