1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Conics Polar Equations!

  1. Jul 29, 2009 #1
    1. The problem statement, all variables and given/known data
    Hyperbola formula 9x^2 - 4y^2 + 36x + 24y - 36 = 0.
    Convert to rectangular form, find coordinates of the vertices, find coordinates of the foci, find eccentricity, what is the equation of the conic section in polar coordinates if the pole is taken to be the leftmost focus? Sketch.

    2. Relevant equations
    a^2 +b^2 = c^2 directrix: x = (a^2)/c e = c/a

    3. The attempt at a solution
    So I have the hyperbola formula 9x^2 - 4y^2 + 36x + 24y - 36 = 0 I converted it to...
    ((x+2)^2)/4 - ((y-3)^2)/9 = 1
    The vertices I have as (0,3) and (-4,3)
    The foci I have as (-2+ sq. root 13,3) and (-2 + sq. root 13, 3)
    Eccentricity is (sq. root 13)/2
    Now here's the problem I'm having issues trying to find the directrix. I found a formula that says its x = (a^2)/c so after plugging in I get 1.109 but that's between the right vertex and right focus, aren't the directrixes suppose to be between the center and the vertices. Also I'm not quite sure what to do "the pole is taken to be the leftmost focus."
    Last edited: Jul 29, 2009
  2. jcsd
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted