If \(\frac{r^{2}}{a^{2}}-\frac{1^{2}}{h^{2}}=1\). then \(i\) is
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Correct Answer: Option D
Explanation:
\begin{gathered}
\frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}}=1 \cdot \frac{x^{2}}{a}-1=\frac{y^{2}}{b^{2}} \\
y^{2}=\frac{b^{2}}{a^{2}}\left(x^{2}-a^{2}\right) \\
y=+\frac{b}{a} \sqrt{x^{2}-a^{2}}
\end{gathered}
\begin{gathered}
\frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}}=1 \cdot \frac{x^{2}}{a}-1=\frac{y^{2}}{b^{2}} \\
y^{2}=\frac{b^{2}}{a^{2}}\left(x^{2}-a^{2}\right) \\
y=+\frac{b}{a} \sqrt{x^{2}-a^{2}}
\end{gathered}