# Exercises 21.9, page 608

1. Hyperbola; $2{x}^{\hspace{0.17em}\prime \hspace{0.17em}}{y}^{\hspace{0.17em}\prime \hspace{0.17em}}\hspace{0.17em}+\hspace{0.17em}25\hspace{0.17em}=\hspace{0.17em}0$

3. Ellipse; $4{{x}^{\hspace{0.17em}\prime \hspace{0.17em}}}^{2}\hspace{0.17em}+\hspace{0.17em}9{{y}^{\hspace{0.17em}\prime \hspace{0.17em}}}^{2}\hspace{0.17em}=\hspace{0.17em}36$

5. Hyperbola

7. Parabola

9. Ellipse

11. Parabola; ${{x}^{\hspace{0.17em}\prime \hspace{0.17em}}}^{2}\hspace{0.17em}+\hspace{0.17em}\sqrt{2}{y}^{\hspace{0.17em}\prime \hspace{0.17em}}\hspace{0.17em}=\hspace{0.17em}0$

13. ${{y}^{\hspace{0.17em}\prime \hspace{0.17em}}}^{2}\hspace{0.17em}-\hspace{0.17em}{{x}^{\hspace{0.17em}\prime \hspace{0.17em}}}^{2}\hspace{0.17em}=\hspace{0.17em}16$

15. Hyperbola; $4{{x}^{\hspace{0.17em}\prime \hspace{0.17em}}}^{2}\hspace{0.17em}-\hspace{0.17em}{{y}^{\hspace{0.17em}\prime \hspace{0.17em}}}^{2}\hspace{0.17em}=\hspace{0.17em}4$

17. Ellipse;

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