Question

help please! will give medal!
The equation of a circle is
x2 + y2 + Cx + Dy + E = 0. If the radius of the circle is decreased without changing the coordinates of the center point, how are the coefficients C, D, and E affected?

Answer 1

Convert the above equation to form\[(x-\alpha)^2+(y-\beta)^2=r^2\] from there it is easy to note that \[C=-\alpha*2, D=-\beta*2\] and \[\alpha^2+\beta^2-r^2 = E\]; where r represents the radius of the circle and \[\alpha, \beta\] are the coordinate of the center of the circle.

Answer 2

Do not use sentences like giving medal while asking questions for the love of god. Its a forum and not Award distribution ceremony.

Answer 3

complete the squares

Answer 4

Sorry about the medal comment. I'm new and this is the third question I have ask and this is the first time anyone responded. I saw other people writing that. I didn't know.
E =R^2 and it decreases so it changes.
The center point doesn't change so C & D don't change

C and D are unchanged but E increases

Answer 5

Yes, you are correct

Answer 6

thanks for responding :) I don't even know why they put me in this class. I've never done this stuff. Thanks again!

Answer 7

Which class are you referring to?

Answer 8

E increases? Wtf? No.. thats NOT even one of the answers to chose from.. the fnck outta here with them false answers.. Tired of failing cause people put up wrong answers. -_______-

Answer 9

it's no ones fault but yours ^

Answer 10

lmao^