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

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.Solutionx^2+y^2+7x-10y+69/4 = 0 x^

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