Question

PLZ HELP ASAP FEATURES OF A CRICLE FROM AN EXPANDED EQUATION

Answer 1

First we need to convert the given equation to standard form.


`x^(2) + y^(2) -2y-99=0 \\ \\ x^(2) + y^(2)-2(y)(1)=99 \\ \\ x^(2) + y^(2)-2(y)(1)+1=99+1 \\ \\ x^(2) + (y-1)^(2)=100`

Comparing this equation to the standard equation of circle, we can write:

The center of the circle is (0, 1) and the radius of the given circle is 10