SOLUTION: if x+y^2+kxy+8x-6y+9=0 represents a circle state the value of k and substituting this value of k in the equation;find the center and radius of the circle

Question 697821: if x+y^2+kxy+8x-6y+9=0 represents a circle state the value of k and substituting this value of k in the equation;find the center and radius of the circle
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
It should have a term with .
If represents a circle,
.
(Terms in appear when a conic section other than a circle has axes that are not parallel to the x- and y-axes, but circles do not care about rotating the axes).

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The last equation shows that the circle is centered at the point (-4,3),
because and are the coordinates of the center, subtracted from and in the equation.
It also shows that the radius is .
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