UrbanPro

Location Set your Location

Login Ask & Answer Success Stories Paid Courses Free Classes Tuition & Classes Fees Write a Review All Categories Help Center
Post your Learning Need Signup as a Tutor
✕

Popular Cities

Bangalore

Hyderabad

Delhi

Mumbai

Chennai

Pune

Kolkata

Gurgaon

Ahmedabad

Jaipur

Noida

✕

Take Class 12 Tuition from the Best Tutors

  • Affordable fees
  • 1-1 or Group class
  • Flexible Timings
  • Verified Tutors

Book a Free Demo

Class 12 Tuition > Learn Class XI-XII Tuition (PUC) > Find the locus of the extremities of the latus recta...
✕

Search in

Find the locus of the extremities of the latus recta of all ellipses having a given major axis 6a?

Asked by Last Modified  

2 Answers

Learn Class XI-XII Tuition (PUC) +2 Mathematics Ellipse

Follow 0
Answer

Please enter your answer

Maths Cracker

Let LSI be the latus rectum, C be the centre of the ellipse and the coordinates of L be (x, y) then x = CS = 3 ae ...... (1) And y = SL = b2/3a = (9a2(1 - e2))/3a = 3a (1 - e2) ...... (2) Eliminating the variable 'e' from (1) and (2) we get the locus of L. Hence putting the value of e from (1) and (2),...
read more
Let LSI be the latus rectum, C be the centre of the ellipse and the coordinates of L be (x, y) then x = CS = 3 ae ...... (1) And y = SL = b2/3a = (9a2(1 - e2))/3a = 3a (1 - e2) ...... (2) Eliminating the variable 'e' from (1) and (2) we get the locus of L. Hence putting the value of e from (1) and (2), we get:- y = 3a(1-x2/9a2) x2 = 9a2 - 3ay x2 = 3a(3a - y), which is clearly a parabola. Similarly, we can show that the locus of L' is x2 = 3ay(y + 3a) which is again a parabola. read less
Comments
Dislike Bookmark

IIT Bombay

Co-ordinate of extreme point of latus rectum would b (c,y).You can find ‘y’ by taking ‘x’ as ‘c’ in general equation,which comes out to b2/a.So the co-ordinate becomes {(a2-b2)1/2,b2/a}.Eliminating ‘b’ you will get a2-x2=ay.
Comments
Dislike Bookmark

Related Questions

The SI unit of electrical resistance is __________. (Ampere, Volt, Farad, Ohm)
ohm
Narendra Kumar
5 boys and 5 girls are sitting in a row randomly. The probability that boys and girls sit alternately is...... ?
5!6!/10! = 1/42
Kumar Upendra Akshay
What are the differences between anode and cathode?
'A'no'D'e is one that 'ADD's electrons to others by reducing its electrons so it is positive electrode......'CAT'hode 'CAT'ches electrons from others and becomes negative so it is negative electrode.
S.meenakshi
0 0
8
What are the 3 Types of networks..?
They are as follows : LAN (local area network), MAN (metropolitan area network) and WAN (wide area network).
RAJESH N.
1 0
7
In library there are 2n+1 books if a student select at least n+1 books in 256 ways how many number of books in a library?
There are 9 books
Ravi
1 0
8

Now ask question in any of the 1000+ Categories, and get Answers from Tutors and Trainers on UrbanPro.com

Ask a Question

Related Lessons

Utility and its features
What is Utility and what are its features?

Rajiv Vadera

0 0
0
What is an Assets ?
Assets are sometimes defined as resources or things of value that are owned by a company. Some examples of assets which are obvious and will be reported on a company's Balance Sheet include: cash, accounts...

Dev Group

1 0
0
Be a learner
Hi students, To be a good learner we should read the books and other guides with care. As mind only accepts visulation and intellectual learning concept which we observe. So when reading be attentive....

Dr. Lokesh Sehgal

1 0
0
Qualifications and Appointment of Supreme Court Judges in India
The Supreme court Judges in India are appointed by the President on the advice of his Council of Ministers and in consultation with such persons as he deems fit. In the appointment of the Chief Justice,...
D

Deepa H.

1 0
0
Introduction to Chess
Chess is a game played on 64 square board which is a combination of two colours, usually black and white (nowadays different colours chess boards are available like green and white, yellow and brown). The...

Deleted User

0 0
0

Recommended Articles

Meet Sandhya R, a B.Sc tutor from Bangalore

Sandhya is a proactive educationalist. She conducts classes for CBSE, PUC, ICSE, I.B. and IGCSE. Having a 6-year experience in teaching, she connects with her students and provides tutoring as per their understanding. She mentors her students personally and strives them to achieve their goals with ease. Being an enthusiastic...

Read full article >

Meet Radhe Shyam Burman, an MBA Tutor from...

Radhe Shyam is a highly skilled accounts and finance trainer with 8 years of experience in teaching. Accounting is challenging for many students and that’s where Radhe Shyam’s expertise comes into play. He helps his students not only in understanding the subject but also advises them on how to overcome the fear of accounts...

Read full article >

Meet Urmila, an MBBS tutor from Bangalore

Urmila is a passionate teacher with over 8 years of experience in teaching. She is currently pursuing her Ph. D. She provides classes for Class 11, Class 12, MBBS and Medical tuition.  Urmila began her career in teaching long before she became a teacher. She used to provide classes for foreign national students in her college...

Read full article >

Meet Raghunandan.G.H, a B. Tech Tutor from...

Raghunandan is a passionate teacher with a decade of teaching experience. Being a skilled trainer with extensive knowledge, he provides high-quality BTech, Class 10 and Class 12 tuition classes. His methods of teaching with real-time examples makes difficult topics simple to understand. He explains every concept in-detail...

Read full article >

Find Class 12 Tuition near you
Class 12 Tuition in Delhi
Class 12 Tuition in Bangalore
Class 12 Tuition in Hyderabad
Class 12 Tuition in Kolkata
Class 12 Tuition in Mumbai
Class 12 Tuition in Chennai
Class 12 Tuition in Pune
Class 12 Tuition in Jaipur
Class 12 Tuition in Lucknow
Class 12 Tuition in Noida

Looking for Class 12 Tuition ?

Learn from the Best Tutors on UrbanPro

Are you a Tutor or Training Institute?

Join UrbanPro Today to find students near you
X

Looking for Class 12 Tuition Classes?

The best tutors for Class 12 Tuition Classes are on UrbanPro

  • Select the best Tutor
  • Book & Attend a Free Demo
  • Pay and start Learning

Take Class 12 Tuition with the Best Tutors

The best Tutors for Class 12 Tuition Classes are on UrbanPro

This website uses cookies

We use cookies to improve user experience. Choose what cookies you allow us to use. You can read more about our Cookie Policy in our Privacy Policy

Accept All
Decline All

UrbanPro.com is India's largest network of most trusted tutors and institutes. Over 55 lakh students rely on UrbanPro.com, to fulfill their learning requirements across 1,000+ categories. Using UrbanPro.com, parents, and students can compare multiple Tutors and Institutes and choose the one that best suits their requirements. More than 7.5 lakh verified Tutors and Institutes are helping millions of students every day and growing their tutoring business on UrbanPro.com. Whether you are looking for a tutor to learn mathematics, a German language trainer to brush up your German language skills or an institute to upgrade your IT skills, we have got the best selection of Tutors and Training Institutes for you. Read more

ThinkVidya Learning Pvt Ltd © 2010-2024All Rights Reserved