Answer
See the explanation below.
Work Step by Step
Standard form of a hyperbola is $\dfrac{x^2}{a^2}-\dfrac{y^2}{b^2}=1$
Standard form of an ellipse is $\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1$
When we compare the standard form for both hyperbola and ellipse we can only see the difference of the signs of the coefficients of the squared variable $x^2$ and $y^2$.
For same signs it defines an ellipse and opposite signs define a hyperbola.
