Find the center and radius of the circle x2y27x10y6940 Then
Find the center and radius of the circle x2+y2+7x-10y+69/4=0
Then convert the answer back to general form.
Thanks in advanced.
Solution
x^2+y^2+7x-10y+69/4 = 0
x^2 + 7x + y^2 -10y + 69/ 4 =0
(x+7/2)^2 - 49/4 + (y-5)^2 -25 +69/4 =0
(x+7/2)^2 + (y-5)^2 = 80/4
comparing with standard equation of circle we get
(x-h)^2 + (y-k)^2 = r^2
centre = ( -7/2 , 5 )
radius = sqrt 20
