Additional Problems
Identify the type of conic section for each of the following equations
(i) $x^2-4 y^2+6 x+16 y-11=0$
(ii) $y^2-8 y+4 x-3=0$
(iii) $4 \mathrm{x}^2-9 \mathrm{y}^2=36$
(iv) $16 x^2+25 y^2=400$
(v) $16 x^2+9 y^2+32 x-36 y-92=0$
(vi) $x^2+4 y^2-8 x-16 y-68=0$
(vii) $x^2+y^2-4 x+6 y-17=0$
Solution:
(i) Hyperbola
(ii) Parabola
(iii) Hyperbola
(iv) Ellipse
(v) Ellipse
(vi) Ellipse
(vii) Circle