Question

@ganeshie8 The equation x2 + y2 − 2x + 2y − 1 = 0 is the general form of the equation of a circle. What is the standard form of the equation?

A. (x − 1)^2 − (y − 1)^2 = 1

B. (x − 1^)2 + (y + 1)^2 = 3

C. (x + 1)^2 + (y − 1)^2 = 1

D. (x − 1)^2 + (y + 1)^2 = 1

Answer 1

Complete the squares

Answer 2

\[
x^2 + y^2 − 2x + 2y − 1 = 0\\
x^2 − 2x+1-1+y^2 + 2y +1-1− 1 = 0\\
(x-1)^2+(y+1)^2-1-1-1=0\\
(x-1)^2+(y+1)^2 =3\\
\]

Answer 3

B. is the answer

Answer 4

your awesome in explaining it. Thanks :D

Answer 5

YW