How do you determine circle, parabola, ellipse, or hyperbola from equation #x^2 + y^2 - 16x + 18y - 11 = 0#?
The equation is of a circle of radius
Step 1: Group
Step 2: Complete the square for both
Step 3: Compare to the standard forms of conic sections
Note that the above equation matches the formula for a circle with
Thus the equation is of a circle of radius