Answer to Question #137927 in Analytic Geometry for Rhea Marzan

Question

Draw the circle whose equation is given by 3x 2 + 3y 2 + 6x − 9y = 2.

Answer 1

$3x ^2 + 3y ^2 + 6x − 9y = 2,\\3x ^2 + 3y^ 2 + 6x − 9y - 2=0,\\ x ^2 + y^ 2 + 2x − 3y - 2/3=0$

From here we can see that the center is $(-1,3/2)$ and radius is $\sqrt{1^2+1.5^2+2/3}=1.97$