SOLUTION: Determine the type of conic section represented by the equation (X+6)^2/25 - (y+4)^2/64 = 1 The answer is one of the following. Which one? A) hyperbola B) ellipse C) para

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Determine the type of conic section represented by the equation (X+6)^2/25 - (y+4)^2/64 = 1 The answer is one of the following. Which one? A) hyperbola B) ellipse C) para      Log On


   

Question 1198510: Determine the type of conic section represented by the equation
(X+6)^2/25 - (y+4)^2/64 = 1
The answer is one of the following. Which one?
A) hyperbola
B) ellipse
C) parabola
D) line
E) circle


Answer by ikleyn(52786) About Me  (Show Source):
You can put this solution on YOUR website!
.

The type of conic section is hyperbola,
since the equation includes squares of coordinates with opposite signs
and the right side of the equation is 1 (not zero).