SOLUTION: x2+y2-6x-4y+9=0 Is an ellipse,parabola,hyperbola, or degenarate coonic? What are its asymptotes,focuses, ellipse, vertexes length of major and minor axises and dirextrix

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: x2+y2-6x-4y+9=0 Is an ellipse,parabola,hyperbola, or degenarate coonic? What are its asymptotes,focuses, ellipse, vertexes length of major and minor axises and dirextrix      Log On


   

Question 963661: x2+y2-6x-4y+9=0
Is an ellipse,parabola,hyperbola, or degenarate coonic? What are its asymptotes,focuses, ellipse, vertexes length of major and minor axises and dirextrix
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

x%5E2%2By%5E2-6x-4y%2B9=0
%28x%5E2-6x%29%2B%28y%5E2-4y%29=-9............complete squares
%28x%5E2-6x%2B_%29-_%2B%28y%5E2-4y%2B_%29-_=-9
%28x%5E2-6x%2B3%5E2%29-3%5E2%2B%28y%5E2-4y%2B2%5E2%29-2%5E2=-9
%28x-3%29%5E2-9%2B%28y-2%29%5E2-4=-9
%28x-3%29%5E2%2B%28y-2%29%5E2=-9%2B9%2B4
%28x-3%29%5E2%2B%28y-2%29%5E2=4
so, here you have a circle with a center at (3,2), diameter d=4, and radius r=2