Question

Choose the correct conic section to fit the equation.

xy = -16
Circle
Ellipse
Parabola
Hyperbola

Answer 1

The answer is a Hyperbola

Answer 2

Hyperbola

Explanation:

Given is an equation in x and y as

`xy = -16`

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

`xy=c^2 \\xy =-c^2`

Hyperbola is the right answer.