Turn on thread page Beta
    • Thread Starter
    Offline

    2
    ReputationRep:
    Using methods of Lagrange multipliers, find the shortest distance between the ellipse x^2 +3y^2 = 1 and x+3y-3=0. Not sure how to approach this. I understand how to find the distance between a point and a surface/line but not sure how to extend this.
    Offline

    17
    ReputationRep:
    (Original post by Palabras)
    Using methods of Lagrange multipliers, find the shortest distance between the ellipse x^2 +3y^2 = 1 and x+3y-3=0. Not sure how to approach this. I understand how to find the distance between a point and a surface/line but not sure how to extend this.
    I'd imagine that you need to derive and minimise the distance function representing the distance of any point to the line x+3y-3=0, subject to a constraint that the point must satisfy x^2+3y^2=1.

    Then once you've found the point at which this distance is minimum (using Lagrange multipliers) just plug it back into your distance formula and you're done.
 
 
 

University open days

  1. University of Cambridge
    Christ's College Undergraduate
    Wed, 26 Sep '18
  2. Norwich University of the Arts
    Undergraduate Open Days Undergraduate
    Fri, 28 Sep '18
  3. Edge Hill University
    Faculty of Health and Social Care Undergraduate
    Sat, 29 Sep '18
Poll
Which accompaniment is best?
Useful resources

Make your revision easier

Maths

Maths Forum posting guidelines

Not sure where to post? Read the updated guidelines here

Equations

How to use LaTex

Writing equations the easy way

Student revising

Study habits of A* students

Top tips from students who have already aced their exams

Study Planner

Create your own Study Planner

Never miss a deadline again

Polling station sign

Thinking about a maths degree?

Chat with other maths applicants

Can you help? Study help unanswered threads

Groups associated with this forum:

View associated groups

The Student Room, Get Revising and Marked by Teachers are trading names of The Student Room Group Ltd.

Register Number: 04666380 (England and Wales), VAT No. 806 8067 22 Registered Office: International House, Queens Road, Brighton, BN1 3XE

Write a reply...
Reply
Hide
Reputation gems: You get these gems as you gain rep from other members for making good contributions and giving helpful advice.