Problem

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

Solution

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.

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Source: https://solvelyapp.com/problems/eAoaGJKml0/

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