Analytic Geometry Solutions
Topics || Problems
What is the graph of the equation \(18x^2 + 18 y^2 = 288\)
Solution:
The curve represents a circle at the origin, \(x^ +y^2 = r^2 \).
Simplify the equation to its standard form: \(18x^2 + 18y^2 = 288\)
\(x^2 + y^2 = 16\)
Locate the center and the radius of the circle.
The center of the circle is at the origin.
\( r^2 = 16\)
\( r = 4\)
Graph the curve.