## anonymous 3 years ago What conic does the equation y^2-x^2=4 represent?

1. DLS

Hyperbola.

2. anonymous

@DLS How do you know?

3. anonymous

I thought it would have been a circle

4. DLS

$\LARGE \frac{y^2}{4}-\frac{x^2}{4}=1$

5. DLS

This is the general form of equation for a hyperbola.. For circle it is,(x-a)^2+(y-a)^2=1

6. anonymous

So in order to find what it is, you divide the sides by the 4? @DLS

7. DLS

Yes,here.

8. anonymous

Is that how you find out which conics is which? Simply divide what is whatever the number is to both sides?

9. anonymous

@DLS

10. DLS

Depends.

11. DLS

You have to observe and have an idea about all the conics.