RD Sharma Class 11 Solutions Chapter 26 - Ellipse (Ex 26.1) Exercise 26.1

Q: 3. What is the general equation of an ellipse?

The general equation of an ellipse is (x−h)2a2+(y−k)2b2=1Where h and k is the centreA and b are the major and minor radii. Area of the ellipse = π*a*bWe will learn about these concepts in the chapter ellipse. The fixed-line parallel to the minor axis, at a distance of d from the centre, is called the directrix of the ellipse.The eccentricity of an ellipse is defined as the elongation of the ellipse. The value of eccentricity lies between 0-1 for the ellipse. There are a variety of questions in RD Sharma based on the directrix and eccentricity of an ellipse.

RD Sharma Solutions

RD Sharma Class 11 Solutions Chapter 26 - Ellipse (Ex 26.1) Exercise 26.1

Last updated date: 23rd Apr 2024

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Vedantu’s Class 11 Chapter 26 - Ellipse Ex 26.1 RD Sharma Solutions

Free PDF download of RD Sharma Class 11 Solutions Chapter 26 - Ellipse Exercise 26.1 solved by Expert Mathematics Teachers on Vedantu.com. All Chapter 26 - Ellipse Ex 26.1 Questions with Solutions for RD Sharma Class 11 Maths to help you to revise the complete Syllabus and Score More marks. Register for online coaching for IIT JEE (Mains & Advanced) and other engineering entrance exams.

Chapter 26- Ellipse

Class 11 has a chapter named ellipse. This chapter tells us about what an ellipse is. This comes under the conic section. It is defined as the locus of a point in a plane that moves in such a way that the ratio of the distance from a fixed point in the same plane to its distance from a fixed straight line is always constant, which is always less than unity. In simpler words, an ellipse is a circle that has been stretched forward in one direction to make an oval.

You can refer to Vedantu’s class 11 chapter 26 ellipse to understand better about this topic.

Content of the Chapter

The topics covered under this topic are as follows:

Ellipse equation
The ellipse tracing
Vertices
Major and minor axes
Ellipse directrix
Some general formulas.

All this will help you understand this chapter better and score well in your exams.

As this chapter is included under the conic section, it will also provide you information about the area and circumference, tangent equation, chord equation, normal equation, and the chord equation joining the points of the ellipse. You will also learn about the general equation of the above-mentioned topics.

What is RD Sharma offering?

RD Sharma offers us an entire chapter based on this topic which will not only provide us with the best put topic explanations but plenty of questions to practice and apply all these explanations to get a better grasp of the topic.

Vedantu is offering you a free pdf for RD Sharma Class 11 solution for Chapter 26. You can download it to prepare for your exams.

At Vedantu, we care about the future of our learners. Thus curate these solutions for you at one place that is absolutely free of cost for you.

Expert Advice to learn Efficiently

While learning Maths, always practice while learning a topic. As Maths is more of a practical subject. So reading just the theory might be of no use.
Understand the topic completely. Only then jump to solving the equation. Without a clear understanding of the topic, it is possible that you might jump to false conclusions.
Keep a check on all the equations that you are learning. Also, learn their correct applications.
Try not to cram one night before the exams. Regular practice will save you from the hassle of cramming and stress caused due to this.

Conclusion

RD Sharma Exercise 26.1 is an important topic to get the insights of the conic section ellipse. Exercise 26.1 helps in finding the equation and length of the latus rectum. You can download the free pdf offered by Vedantu.

FAQs on RD Sharma Class 11 Solutions Chapter 26 - Ellipse (Ex 26.1) Exercise 26.1

1. What are conic sections?

A conic section is a curve obtained as the intersection of a surface of a cone with a plane. In simpler words, we get a conic section after slicing a cone. There are four types of conic sections:

Parabola
Hyperbola
Ellipse
A circle is a special case of the conic section.

The practical application of an ellipse is seen in Physics and Optics.

RD Sharma offers individual chapters to all these topics. You can get solutions to all these chapters easily on Vedantu.

2. How is an ellipse different from a circle?

There are some major differences between a circle and an ellipse:

Circle	Ellipse
It is a close curved shape that is flat. And all the points are equally distanced from the centre.	Ellipse is a closed curved shape whose points are at a different distance from the centre.
The circle has a constant radius which lies at the centre.	Ellipse does not have a constant radius. It has major and minor axes.

The circle is considered as the special case of the ellipse.

3. What is the general equation of an ellipse?

The general equation of an ellipse is (x−h)²a²+(y−k)²b²=1

Where h and k is the centre

A and b are the major and minor radii.

Area of the ellipse = π*a*b

We will learn about these concepts in the chapter ellipse. The fixed-line parallel to the minor axis, at a distance of d from the centre, is called the directrix of the ellipse.

The eccentricity of an ellipse is defined as the elongation of the ellipse. The value of eccentricity lies between 0-1 for the ellipse. There are a variety of questions in RD Sharma based on the directrix and eccentricity of an ellipse.