Question

The equation x squared + y squared − 2x + 2y − 1 = 0 is the general form of the equation of a circle. What is the standard form of the equation? (x − 1)squared - (y − 1)squared = 1 (x − 1)squared + (y + 1)squared = 3 (x + 1)squared + (y − 1)squared = 1 (x − 1)squared + (y + 1)squared = 1

Answer 1

`x^2+y^2-2x+2y-1=0 \\ x^2-2x+1+y^2+2y+1-1-1-1=0 \\ (x-1)^2+(y+1)^2-3=0 \\ \boxed{(x-1)^2+(y+1)^2=3}`