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!

Analytical Geometry (Division of line segments)

  1. Jan 25, 2017 #1
    1. Here is the Problem:

    A line passes through A(2,3) and B(5,7).
    Find:
    (a) the coordinates of the point P on AB
    extended through B to P so that P is twice as far from A as from B;
    (b) the coordinates if P is on AB extended through A so that P is twice as far from B as from A.

    2. Relevant equations:
    To get the coordinates P, here is the equation i used:
    XP=X1+R(X2-X1)

    R is the Ratio of AP/AB

    I'll do the same for Yp

    3. The attempt at a solution:

    So this is my attempt to solve the (a) P Coordinates.

    AP = 2BP

    R=AP/AB=2/1=2

    X = X1+R(X2-X1)
    X = 2+2(5-2)
    X = 2+2(3)
    X = 2+6
    X = 8

    For Y:

    Y = 3+2(7-3)
    Y = 3+2(4)
    Y = 3+8
    Y = 11

    ∴ (a)P (8,11)


    As i attempt to graph it. It seems like it is too much based on the problem. What did I miss?
     
  2. jcsd
  3. Jan 25, 2017 #2

    LCKurtz

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    Your solution looks fine.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted



Similar Discussions: Analytical Geometry (Division of line segments)
  1. Line Segment (Replies: 6)

  2. Analytical Geometry (Replies: 2)

  3. Analytical geometry (Replies: 1)

  4. Analytic geometry. (Replies: 1)

Loading...