Find the center and the radius of the circle with the given
Find the center and the radius of the circle with the given equation. X^2 +y^2+2x - 14y = 0
Solution
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Given equation
x^2 + 2x + y^2 -14y = 0
Completing squares of x and y
x^2 + 2x +1 + y^2 -14y + 49 = 1 + 49
(x+1 )^2 + (y - 7)^2 = 50
Comaring with standard equation of circle with centre h,k and radius r
(x-h)^2 + (y-k)^2 = r^2
h = -1
k = 7
radius = sqrt (50)
Hence solved
