sakigirl
What conic does the equation y^2x^2=4 represent?



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DLS
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Hyperbola.

sakigirl
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@DLS How do you know?

sakigirl
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I thought it would have been a circle

DLS
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\[\LARGE \frac{y^2}{4}\frac{x^2}{4}=1\]

DLS
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This is the general form of equation for a hyperbola..
For circle it is,(xa)^2+(ya)^2=1

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

DLS
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Yes,here.

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

sakigirl
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@DLS

DLS
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Depends.

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