What conic section is represented by the equation x^2/9-y^2/4=1x29y24=1?

1 Answer
Oct 7, 2014

Hyperbola.

Circle
(x - h)^2 + (y - k)^2 = r^2(xh)2+(yk)2=r2

Ellipses
(x - h)^2/a^2 + (y - k)^2/b^2 = 1(xh)2a2+(yk)2b2=1
(x - h)^2/b^2 + (y - k)^2/a^2 = 1(xh)2b2+(yk)2a2=1

Parabola
y - k = 4p(x - h)^2yk=4p(xh)2
x - h = 4p(y - k)^2xh=4p(yk)2

Hyperbola
(x - h)^2/a^2 - (y - k)^2/b^2 = 1(xh)2a2(yk)2b2=1
(y - k)^2/a^2 - (x - h)^2/b^2 = 1(yk)2a2(xh)2b2=1