SOLUTION: determine whether the following equations describe a parabola , a hyperbola and ellipse a circle ? a) x^2-4x+y^2-12y=60 b) 2x^2-4x+y^2-12y=60 c) x^2-4x-2y^2-12=60 d) -4x+y^2-1

Question 610515: determine whether the following equations describe a parabola , a hyperbola and ellipse a circle ?
a) x^2-4x+y^2-12y=60
b) 2x^2-4x+y^2-12y=60
c) x^2-4x-2y^2-12=60
d) -4x+y^2-12y=60
e) 2x^2-4x+2y^2-12y=-60
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
a) x and y both squared and positive with equal coefficients -- circle

b) x and y both squared and positive with unequal coefficients -- ellipse

c) x and y both squared, one negative and one positive -- hyperbola

d) only y is squared -- parabola with a horizontal axis, opening to the right

e) x and y both squared and positive with equal coefficients -- circle

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