# To determine: The conic section and to find the vertices and foci: x2 - y2y=4

To determine: The conic section and to find the vertices and foci:

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The equation can be written as: The standard equation of hyperbola with foci will be given by: Thus, on comparing equations and we find that the given conic is a hyperbola. Now, compare equation and and we get: Now, Thus, the vertices of the given conic are The foci of the given conic is Conclusion: Hence, the given conic section is a hyperbola. The vertices of hyperbola are and the foci of the hyperbola is .