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Andrew
Posts:
6
Registered:
12/6/04


Analytical Geometry  Equations From Geometric Definitions
Posted:
Mar 9, 2005 9:18 AM


First, I'm teaching myself at home. This is not for classroom. Here's the problem.
Directions: Find a polynomial equation with integer coefficients for the set of coplanar points described. Tell whether or not the graph is a conic section and, if it is, tell which conic section.
1. For each point, its distance from the fixed point (3,0) is twice its distance from the fixed point (3,0).
Solution: The square root of [(x+3) squared + (y0) squared] = 2 times the square root of [(x3) squared + (y0) squared] which equals
x squared + y squared  10x + 9 = 0 The conic section is a circle.
I realized right away when the question was asked, which conic section it would be. I am struggling to grasp the equations and would appreciate it if you could go step by step through the problem so I see the work and can understand it piece by piece. I've reworked it several times and just can't get to it.



