A student thinks that the graphs of the equations
$\frac{x^{2}}{81}-\frac{y^{2}}{25}=1$ and $\frac{y^{2}}{25}-\frac{x^{2}}{81}=1$
are identical. Is the student correct? Explain.

Question

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The Answer of A student thinks that the graphs of the equations
$\frac{x^{2}}{81}-\frac{y^{2}}{25}=1$ and $\frac{y^{2}}{25}-\frac{x^{2}}{81}=1$
are identical. Is the student correct? Explain.

A Student Thinks That the Graphs of the Equations x281−y225=1\frac{x^{2}}{81}-\frac{y^{2}}{25}=181x2​−25y2​=1 And y225−x281=1\frac{y^{2}}{25}-\frac{x^{2}}{81}=125y2​−81x2​=1

A Student Thinks That the Graphs of the Equations $\frac{x^{2}}{81}-\frac{y^{2}}{25}=1$ And $\frac{y^{2}}{25}-\frac{x^{2}}{81}=1$