Grade 11 Exam > Grade 11 Videos > Mathematics for Grade 11 > Hyperbola : Examples
Hyperbola : Examples Video Lecture | Mathematics for Grade 11
|
157 videos|215 docs|132 tests
|
FAQs on Hyperbola : Examples Video Lecture - Mathematics for Grade 11
| 1. What is a hyperbola? |  |
A hyperbola is a type of curve that can be defined as the set of all points in a plane, such that the absolute difference of the distances from any point on the curve to two fixed points (called foci) is constant.
| 2. How is a hyperbola different from an ellipse? | |
A hyperbola differs from an ellipse in terms of the constant difference of distances between the points on the curve and the foci. In a hyperbola, this difference is always constant and greater than zero, whereas in an ellipse, the sum of the distances is constant and less than the length of the major axis.
| 3. What are the key properties of a hyperbola? | |
The key properties of a hyperbola include:
- The distance between the two foci is constant and is equal to 2a, where a is the distance from the center to either vertex.
- The transverse axis is the line segment connecting the two vertices.
- The conjugate axis is the line segment perpendicular to the transverse axis and passes through the center.
- The equation of a hyperbola can be written in the standard form: (x-h)^2/a^2 - (y-k)^2/b^2 = 1, where (h,k) represents the center of the hyperbola.
| 4. How can a hyperbola be graphed? | |
To graph a hyperbola, start by determining the center, vertices, foci, and asymptotes. Then, plot the center point on a coordinate plane and mark the vertices and foci accordingly. Next, draw the transverse and conjugate axes passing through the center. Finally, sketch the curves of the hyperbola using the asymptotes as guidelines.
| 5. What are the real-life applications of hyperbolas? | |
Hyperbolas have various real-life applications, including:
- Satellite communication: The path of satellite communication signals often follows a hyperbolic curve.
- Astronomy: The orbit of comets around the sun can be represented as hyperbolas.
- Optics: Hyperbolic mirrors are used in telescopes and other optical systems to correct spherical aberration.
- Architecture: Some architectural designs, such as the shape of arches, can be modeled using hyperbolas.
- Navigation: Hyperbolic navigation systems, such as LORAN (LOng RAnge Navigation), utilize hyperbolic curves to determine positions accurately.
About this Video
|
4.66/5 Rating |
|
Nov 17, 2024 Last updated |
Video Description: Hyperbola : Examples for Grade 11 2024 is part of Mathematics for Grade 11 preparation.
The notes and questions for Hyperbola : Examples have been prepared according to the Grade 11 exam syllabus.
Information about Hyperbola : Examples covers all important topics for Grade 11 2024 Exam.
Find important definitions, questions, notes, meanings, examples, exercises and tests below for Hyperbola : Examples.
Introduction of Hyperbola : Examples in English is available as part of our Mathematics for Grade 11 for Grade 11 & Hyperbola : Examples in
Hindi for Mathematics for Grade 11 course. Download more important topics related with notes, lectures and mock test series for
Grade 11 Exam by signing up for free.
Description
Video Lecture & Questions for Hyperbola : Examples Video Lecture | Mathematics for Grade 11 - Grade 11 full syllabus preparation | Free video for Grade 11 exam to prepare for Mathematics for Grade 11.
Information about Hyperbola : Examples
Here you can find the meaning of Hyperbola : Examples defined & explained in the simplest way possible.
Besides explaining types of Hyperbola : Examples theory, EduRev gives you an ample number of questions to practice Hyperbola : Examples tests,
examples and also practice Grade 11 tests.
|
157 videos|215 docs|132 tests
|
|
Explore Courses for Grade 11 exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
Related Searches
practice quizzes
,mock tests for examination
,Objective type Questions
,Sample Paper
,Hyperbola : Examples Video Lecture | Mathematics for Grade 11
,past year papers
,study material
,MCQs
,Extra Questions
,ppt
,Semester Notes
,video lectures
,Important questions
,Summary
,shortcuts and tricks
,Hyperbola : Examples Video Lecture | Mathematics for Grade 11
,Viva Questions
,Exam
,Hyperbola : Examples Video Lecture | Mathematics for Grade 11
,Previous Year Questions with Solutions
,Free
;
Study Hyperbola : Examples on the App
Students of Grade 11 can study Hyperbola : Examples alongwith tests & analysis from the EduRev app,
which will help them while preparing for their exam. Apart from the Hyperbola : Examples,
students can also utilize the EduRev App for other study materials such as previous year question papers, syllabus, important questions, etc.
The EduRev App will make your learning easier as you can access it from anywhere you want.
The content of Hyperbola : Examples is prepared as per the latest Grade 11 syllabus.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup