Question

Choose the letter of the equation from the drop down
menu.
ellipse with center at (4,-5):
ellipse with center at (-5, 4):
hyperbola with center at (-5, 4):
hyperbola with center at (4,-5):

Answer 1

After comparing with standard equations of the ellipse and hyperbola, we will get the center of the ellipse and hyperbola.

What is hyperbola?

It's a two-dimensional geometry curve with two components that are both symmetric. In other words, the number of points in two-dimensional geometry that have a constant difference between them and two fixed points in the plane can be defined.

Here the equation of the ellipse and hyperbola are not given.

As we know, the standard form of the ellipse:

$\rm \dfrac{(x-h)^2}{a^2}+\dfrac{(y-k)^2}{b^2} = 1$

Here (h, k) is the center of the ellipse.

If we compare with the standard equation center, we will get ellipse center.

The standard form of the hyperbola equation:

$\rm \dfrac{(x-h)^2}{a^2}-\dfrac{(y-k)^2}{b^2} = 1$

Here (h, k) is the center of the hyperbola.

Thus, after comparing with standard equations of the ellipse and hyperbola, we will get the center of the ellipse and hyperbola.

Learn more about the hyperbola here:

brainly.com/question/12919612

#SPJ1