Results 1 to 7 of 7

Thread: Help with Conics & Parametrics

  1. #1
    Cadet
    Join Date
    Nov 2015
    HSC
    2017
    Gender
    Male
    Posts
    57
    Rep Power
    2

    Help with Conics & Parametrics

    Whats the difference?
    latex.png FullSizeRender (1).jpg

  2. #2
    Hi Φ Green Yoda's Avatar
    Join Date
    Mar 2015
    HSC
    2017
    Gender
    Male
    Posts
    2,840
    Rep Power
    3

    Re: HSC 2017 MX2 Marathon

    Quote Originally Posted by Commando007 View Post
    Whats the difference?
    latex.png FullSizeRender (1).jpg
    The first one is the equation of chord of contact to an ellipse from a point T(x0,y0).
    The second one is an equation of the chord from points P(acosθ,bsinθ) and Q(acosφ,bsinφ) in an ellipse
    2016 Preliminary

    Maths Extension • English Advanced • Biology • Legal Studies • Physics • PDHPE

    2017 HSC

    Maths Extension 2 • English Advanced • Biology • Physics • PDHPE

    Atar aim: 97
    Desired Course: Physiotherapy

  3. #3
    Cadet
    Join Date
    Nov 2015
    HSC
    2017
    Gender
    Male
    Posts
    57
    Rep Power
    2

    Re: HSC 2017 MX2 Marathon

    How do we get this equation
    File_000 (1).jpeg

  4. #4
    Supreme Member seanieg89's Avatar
    Join Date
    Aug 2006
    HSC
    2007
    Gender
    Male
    Posts
    2,680
    Rep Power
    10

    Re: HSC 2017 MX2 Marathon

    Quote Originally Posted by Commando007 View Post
    How do we get this equation
    File_000 (1).jpeg
    It's most instructive for you to prove these yourself so I will just provide some hints.

    Consider the forms of sin(X+Y), sin(X-Y), cos(X+Y), cos(X-Y) upon expansion. Is it possible to combine these to obtain products of the form sin(X)cos(Y), sin(X)sin(Y), cos(X)cos(Y) ?

    Now choose X and Y appropriately to put these equations in a "sums to products" form.

  5. #5
    Cadet
    Join Date
    Nov 2015
    HSC
    2017
    Gender
    Male
    Posts
    57
    Rep Power
    2

    Re: HSC 2017 MX2 Marathon

    Quote Originally Posted by Rathin View Post
    The first one is the equation of chord of contact to an ellipse from a point T(x0,y0).
    The second one is an equation of the chord from points P(acosθ,bsinθ) and Q(acosφ,bsinφ) in an ellipse
    What is the equation of PQ?
    the first image or the second one?

  6. #6
    Cadet
    Join Date
    May 2016
    HSC
    2017
    Gender
    Male
    Posts
    34
    Rep Power
    2

    Re: HSC 2017 MX2 Marathon

    Quote Originally Posted by Rathin View Post
    The first one is the equation of chord of contact to an ellipse from a point T(x0,y0).
    The second one is an equation of the chord from points P(acosθ,bsinθ) and Q(acosφ,bsinφ) in an ellipse

    Couldn't the first one also be the equation of the tangent to an ellipse given point that lies on it (x0,y0)

  7. #7
    Taking a break! dan964's Avatar
    Join Date
    Jun 2014
    HSC
    2014
    Uni Grad
    2018
    Gender
    Male
    Location
    South of here
    Posts
    2,765
    Rep Power
    4

    Re: HSC 2017 MX2 Marathon

    Quote Originally Posted by tsoliman1 View Post
    Couldn't the first one also be the equation of the tangent to an ellipse given point that lies on it (x0,y0)
    yes
    2014 HSC
    2015 Gap Year
    2016-2018 UOW Bachelor of Maths/Maths Advanced.

    Links:
    View English Notes (no download). Purchase a downloadable/printable copy on SELLFY here + Year 10 notes
    Maths Notes - Free Sample
    Chemistry Notes Sample + Buy (soon)

    thsconline: https://thsconline.github.io/s/ (2017 papers uploaded)

Thread Information

Users Browsing this Thread

There are currently 1 users browsing this thread. (0 members and 1 guests)

Posting Permissions

  • You may not post new threads
  • You may not post replies
  • You may not post attachments
  • You may not edit your posts
  •