A conic section can be an ellipse, a parabola or a hyperbola.
The equation of the conic section represents a hyperbola
The equation of the conic section is given as:
[tex]\frac{-5x^2}{10} - \frac{5y^2}{2} = 1[/tex]
The equation of a hyperbola is represented as:
[tex]\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1[/tex]
By comparing the given equation of the conic section and the general equation of a conic section, we can see that both equations are similar in some aspect
Hence, the equation of the conic section represents a hyperbola
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