x^2+y^2-12x+10y=-25

decide whether or not the equation has a circle as it's graph. If it does, give the center and the radius., If it does not, describe the graph show all work.

 

x^2+y^2-12x+10y=-25
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1 Answer

Yes, it's a circle because the coefficients of x and y are the same.

x2-12x+y2+10y=-25,

x2-12x+36+y2+10y+25=-25+36+25,

(x-6)2+(y+5)2=36, which is the equation of the circle, centre (6,-5), radius √36=6.

by Top Rated User (1.2m points)

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