Match the circle equations in general form with their corresponding equations in standard form. not all will be used.
x2 + y2 − 4x + 12y − 20 = 0
(x − 6)2 + (y − 4)2 = 56
x2 + y2 + 6x − 8y − 10 = 0
(x − 2)2 + (y + 6)2 = 60
3x2 + 3y2 + 12x + 18y − 15 = 0
(x + 2)2 + (y + 3)2 = 18
5x2 + 5y2 − 10x + 20y − 30 = 0
(x + 1)2 + (y − 6)2 = 46
2x2 + 2y2 − 24x − 16y − 8 = 0
x2 + y2 + 2x − 12y − 9 = 0

The standard form of the equation of a circumference is given by the following expression:



On the other hand, the general form is given as follows:



In this way, we can order the mentioned equations as follows:

Equations in Standard Form:



Equations in General Form:





So let's match each equation:



Then, its general form is:



First. a) matches 5)



Then, its general form is:



Second. b) matches 1)



Then, its general form is:



Third. c) matches 3)



Then, its general form is:

Fourth. d) matches 6)