Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

How many tangents can be drawn from a point to hyperbola?

  1. Apr 3, 2012 #1
    y=mx+-sqrt(a2m2-b2) (which is quadratic equation)
    So there should two tangents from a point but if we draw then we can even draw four tangents.
    example; consider the hyperbola x2/16-y2/4=1 from point (2,0) i think four tangents can be drawn one to right side lobe and one two left one..
    So which is correct equation or my analysis???
     
  2. jcsd
  3. Apr 4, 2012 #2
    Is this question this much tough that even after 293 views none able to reply...
    I have done some type error in my first question. So please see the question written in this post.
     
  4. Apr 4, 2012 #3

    micromass

    User Avatar
    Staff Emeritus
    Science Advisor
    Education Advisor
    2016 Award

    You will only have 2 tangent lines. There will not be any tangents to the left side if you start in (2,0).
     
  5. Apr 5, 2012 #4
    Ohhhhhhh.....
    so that is it.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: How many tangents can be drawn from a point to hyperbola?
Loading...