Question
Match the conic section with the equation in the column on the right that represents that type of conic section._____ A circle with its center not at the origina) $\frac{x^{2}}{10}+\frac{y^{2}}{12}=1$b) $(x+1)^{2}+(y-3)^{2}=30$c) $y-x^{2}=5$d) $\frac{x^{2}}{9}-\frac{y^{2}}{10}=1$e) $x-2 y^{2}=3$f) $\frac{y^{2}}{20}-\frac{x^{2}}{35}=1$g) $3 x^{2}+3 y^{2}=75$h) $\frac{(x-1)^{2}}{10}+\frac{(y-4)^{2}}{8}=1$
Step 1
Step 1: The general equation of a circle with its center not at the origin is given by $(x-h)^{2}+(y-k)^{2}=r^{2}$, where $(h,k)$ is the center of the circle and $r$ is the radius. Show more…
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Match the conic section with the equation in the column on the right that represents that type of conic section. _____ A circle with its center at the origin a) $\frac{x^{2}}{10}+\frac{y^{2}}{12}=1$ b) $(x+1)^{2}+(y-3)^{2}=30$ c) $y-x^{2}=5$ d) $\frac{x^{2}}{9}-\frac{y^{2}}{10}=1$ e) $x-2 y^{2}=3$ f) $\frac{y^{2}}{20}-\frac{x^{2}}{35}=1$ g) $3 x^{2}+3 y^{2}=75$ h) $\frac{(x-1)^{2}}{10}+\frac{(y-4)^{2}}{8}=1$
Conic Sections
Conic Sections: Hyperbolas
Match the conic section with the equation in the column on the right that represents that type of conic section. _____ An ellipse with its center at the origin a) $\frac{x^{2}}{10}+\frac{y^{2}}{12}=1$ b) $(x+1)^{2}+(y-3)^{2}=30$ c) $y-x^{2}=5$ d) $\frac{x^{2}}{9}-\frac{y^{2}}{10}=1$ e) $x-2 y^{2}=3$ f) $\frac{y^{2}}{20}-\frac{x^{2}}{35}=1$ g) $3 x^{2}+3 y^{2}=75$ h) $\frac{(x-1)^{2}}{10}+\frac{(y-4)^{2}}{8}=1$
Match the conic section with the equation in the column on the right that represents that type of conic section. _____ An ellipse with its center not at the origin a) $\frac{x^{2}}{10}+\frac{y^{2}}{12}=1$ b) $(x+1)^{2}+(y-3)^{2}=30$ c) $y-x^{2}=5$ d) $\frac{x^{2}}{9}-\frac{y^{2}}{10}=1$ e) $x-2 y^{2}=3$ f) $\frac{y^{2}}{20}-\frac{x^{2}}{35}=1$ g) $3 x^{2}+3 y^{2}=75$ h) $\frac{(x-1)^{2}}{10}+\frac{(y-4)^{2}}{8}=1$
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