A.SSE.A.2.a: Analyze the structure of the general form of a second degree equation, Ax^2 + Bxy + Cy^2 + Dx + Ey + F = 0, to identify the conic section represented by the equation.

Analyze the structure of the general form of a second degree equation, Ax^2 + Bxy + Cy^2 + Dx + Ey + F = 0, to identify the conic section represented by the equation.

Example Problems

What are the foci of the hyperbola represented by the equation

\frac{x^2}{16} - \frac{y^2}{25} = 1

?

What are the foci of the hyperbola represented by the equation

\frac{x^2}{64} - \frac{y^2}{49} = 1

?

What are the foci of the hyperbola represented by the equation

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

?

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