SOLUTION: classify each conic section: a) x^2-3*y+10=0 b) 16*x^2-9*y^2+96*y+18*y-135=0 c) 8*x^2+8*y^2+64*x+32*y-160=0 d) 25*x^2+16*y^2+100*x-128*y-44=0

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: classify each conic section: a) x^2-3*y+10=0 b) 16*x^2-9*y^2+96*y+18*y-135=0 c) 8*x^2+8*y^2+64*x+32*y-160=0 d) 25*x^2+16*y^2+100*x-128*y-44=0       Log On


   

Question 50680: classify each conic section:
a) x^2-3*y+10=0
b) 16*x^2-9*y^2+96*y+18*y-135=0
c) 8*x^2+8*y^2+64*x+32*y-160=0
d) 25*x^2+16*y^2+100*x-128*y-44=0
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
a) Only one variable is squared, so it is a parabola.
b) Difference (subtraction!) of the squares, so it is a hyperbola.
c) Sum of the squares with same coefficients of x^2 and y^2, so it is a circle.
d) Sum of the squares with unlike coefficients of x^2 and y^2, so it is an ellipse.

R^2 at SCC