SOLUTION: Find the value of k such that the graph of the equation k(x^2 + y^2) + x^2 - y^2 + x + y = 0 is a hyperbola.

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Find the value of k such that the graph of the equation k(x^2 + y^2) + x^2 - y^2 + x + y = 0 is a hyperbola.      Log On


   

Question 1142930: Find the value of k such that the graph of the equation k(x^2 + y^2) + x^2 - y^2 + x + y = 0 is a hyperbola.
Answer by solver91311(24713) About Me  (Show Source):
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A not equal to B, same sign: Ellipse

A = B: Circle

A = 0 or B = 0: Parabola (A AND B = 0: Straight Line)

A not equal to B, different signs: Hyperbola

Therefore:

Ellipse

Parabola

Hyperbola


John

My calculator said it, I believe it, that settles it