Results 1 to 6 of 6

Math Help - [Coordinate Geometry] Locus

  1. #1
    Newbie
    Joined
    May 2010
    Posts
    7

    [Coordinate Geometry] Locus

    A point P moves along the arc of a circle with centre A(2,3). The arc passes through Q(-2,0) and R(5,k).
    a) Find i)the equation of the locus of the point P
    ii)the value of k

    b) The tangent to the circle at point Q intersects(intercepts) the y-axis at point T. Find the area of triangle OQT .




    P.S - I'm very weak in locus , anyone can tell me how can I improve it ?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member
    Joined
    Nov 2007
    From
    Trumbull Ct
    Posts
    911
    Thanks
    27

    coordinate geometry

    Quote Originally Posted by CallMeBin View Post
    A point P moves along the arc of a circle with centre A(2,3). The arc passes through Q(-2,0) and R(5,k).
    a) Find i)the equation of the locus of the point P
    ii)the value of k

    b) The tangent to the circle at point Q intersects(intercepts) the y-axis at point T. Find the area of triangle OQT .




    P.S - I'm very weak in locus , anyone can tell me how can I improve it ?
    Hello Bin,

    1 plot given points. QA is the radius of a circle because a circle is defined as the locus of points equidistant from a given point. Point P moves along the arc of a circle

    2 Draw the slope diagram of QA. calculate the lenght of the hypotenuse which is the radius of the circle

    3 Write the circle equation
    (y-h)^2 +(x-k)^2 = r^2 where h=3 and k =2 and r= lenght of QA

    4 Substitute 5 in this equation for x and solve for y the missing K not related to the k above



    bjh
    Last edited by bjhopper; May 4th 2010 at 04:42 AM. Reason: missed word
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    May 2010
    Posts
    7
    I don't understand the equation of the circle ..
    Understood now .. Wonder why my teacher never teach o.o

    How about b) question o.o

    and thanks !
    Last edited by CallMeBin; May 4th 2010 at 07:49 AM.
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Super Member
    Joined
    Nov 2007
    From
    Trumbull Ct
    Posts
    911
    Thanks
    27

    coordinate geometry-circle

    Quote Originally Posted by CallMeBin View Post
    I don't understand the equation of the circle ..
    Understood now .. Wonder why my teacher never teach o.o
    Hello again Bin,

    Go to website www.mathwarehouse.com and go to circles then standard equation of.


    bjh
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Newbie
    Joined
    May 2010
    Posts
    7
    Quote Originally Posted by bjhopper View Post
    Hello again Bin,

    Go to website www.mathwarehouse.com and go to circles then standard equation of.


    bjh
    Hi bjh

    The link is so useful .. let me try to do b)

    Done, is it 25/3 ?
    Last edited by CallMeBin; May 4th 2010 at 08:18 AM.
    Follow Math Help Forum on Facebook and Google+

  6. #6
    Super Member
    Joined
    Nov 2007
    From
    Trumbull Ct
    Posts
    911
    Thanks
    27
    [quote=CallMeBin;506677]Hi bjh

    The link is so useful .. let me try to do b)

    Done, is it 25/3 ? [/quote

    yes

    bjh
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. differential geometry locus question
    Posted in the Differential Geometry Forum
    Replies: 2
    Last Post: May 26th 2010, 04:47 PM
  2. [Coordinate Geometry] Locus
    Posted in the Geometry Forum
    Replies: 9
    Last Post: May 3rd 2010, 05:36 AM
  3. Geometry Locus help!
    Posted in the Geometry Forum
    Replies: 1
    Last Post: November 23rd 2008, 03:43 PM
  4. Analytic Geometry Locus
    Posted in the Geometry Forum
    Replies: 1
    Last Post: August 24th 2008, 01:55 PM
  5. coordinate geometry
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: March 30th 2008, 12:01 AM

Search Tags


/mathhelpforum @mathhelpforum