Answer:
Hyperbola
Step-by-step explanation:
Given is an equation in x and y as
[tex]xy = -16[/tex]
We know that for ellipse both x and y will have degree 2.
For parabola one variable would be of degree 2 and other degree 1.
Circle both will have degree 2 and equal coefficients.
So this equation is not a circle, a parabola or an ellipse.
We know that rectangular hyperbola will have equation as
[tex]xy=c^2 \\xy =-c^2[/tex]
Hyperbola is the right answer.
