Which shape is defined by the equation $\frac{x^{2}}{4}-\frac{y^{2}}{9}$ $=1$ ?
Circle
Ellipse
Parabola
Hyperbola
None of the above.

Answer

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Answer

Therefore, the shape defined by the equation is a hyperbola.

Steps

Step 1 ：The given equation represents a hyperbola.

Step 2 ：Comparing the given equation with the standard equation, we find that the values of a and b are 2 and 3 respectively.

Step 3 ：Therefore, the shape defined by the equation is a hyperbola.