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ACT Math Practice Question

The hyperbolas $\frac{x^2}{9} - \frac{y^2}{4} = 1$ and $\frac{y^2}{36} - \frac{x^2}{25} = 1$ are graphed in the standard $(x,y)$ coordinate plane. Which of the following equations is an ellipse that intersects all 4 vertices of the hyperbolas?

  1. A.$\frac{x^2}{9} + \frac{y^2}{36} = 1$
  2. B.$\frac{x^2}{25} + \frac{y^2}{4} = 1$
  3. C.$\frac{x^2}{25} + \frac{y^2}{9} = 1$
  4. D.$(x - 9)^2 + (y - 36)^2 = 1$

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