Results 1 to 4 of 4

Math Help - A curve through a point

  1. #1
    Member
    Joined
    Jan 2011
    Posts
    87

    A curve through a point

    The curve xy(x+y-4) = k passes through the point (3,3). Find the value of k. Would this be as simple as just plugging (3,3) back into the equation to give the value k at the point (3,3) ?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Master Of Puppets
    pickslides's Avatar
    Joined
    Sep 2008
    From
    Melbourne
    Posts
    5,236
    Thanks
    28
    Yes.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor

    Joined
    Apr 2005
    Posts
    15,707
    Thanks
    1470
    I would agree with Pickslides but that would make the answer wrong!
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor
    Joined
    Dec 2009
    Posts
    3,120
    Thanks
    1
    Hence, I will not agree with Pickslides!

    No matter what point you choose on the curve,
    placing the co-ordinates of the point into the equation
    must always give the same value of k.

    Hence, given the point (3,3) is on the curve,
    it will yield the same constant k that any other point on the curve will yield.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Curve, gradient and point.
    Posted in the Calculus Forum
    Replies: 4
    Last Post: August 17th 2011, 04:29 AM
  2. Replies: 6
    Last Post: May 16th 2011, 04:57 AM
  3. distance for curve to point help
    Posted in the Pre-Calculus Forum
    Replies: 8
    Last Post: April 10th 2011, 02:09 PM
  4. maximum point of the curve
    Posted in the Algebra Forum
    Replies: 1
    Last Post: July 21st 2010, 11:10 PM
  5. turning point of a curve
    Posted in the Calculus Forum
    Replies: 1
    Last Post: July 17th 2010, 06:16 AM

Search Tags


/mathhelpforum @mathhelpforum