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SECONDARY
GEOMETRY
HIGH SCHOOL GEOMETRY
CONIC SECTIONS
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Conic sections questions and answers
Recent questions in Conic sections
ossidianaZ
2021-08-10
Answered
Find the equation of the graph for each conic in general form. Identify the conic, the center, the vertex, the co-vertex, the focus (foci), major axis, minor axis,
\(\displaystyle{a}^{{2}}\)
,
\(\displaystyle{b}^{{2}}\)
, and
\(\displaystyle{c}^{{2}}\)
. For hyperbola,find the asymtotes.Sketch the graph
\(\displaystyle{2}{\left({y}+{2}\right)}^{{2}}+{4}{\left({x}-{4}\right)}^{{2}}={8}\)
nagasenaz
2021-08-10
Answered
Find the equation of the graph for each conic in general form. Identify the conic, the center, the vertex, the co-vertex, the focus (foci), major axis, minor axis,
\(\displaystyle{a}^{{2}}\)
,
\(\displaystyle{b}^{{2}}\)
, and
\(\displaystyle{c}^{{2}}\)
. For hyperbola,find the asymtotes.Sketch the graph
\(\displaystyle{x}+{2}{y}^{{2}}={4}\)
Efan Halliday
2021-08-10
Answered
Perform a rotation of axes to eliminate the xy-term, and sketch the graph of the “degenerate” conic.
\(\displaystyle{x}^{{2}}+{2}{x}{y}+{y}^{{2}}-{1}={0}\)
kuCAu
2021-08-09
Answered
Use the information provided to write the general conic form equation of each ellipse.
\(\displaystyle{\frac{{{x}^{{2}}}}{{{36}}}}+{\frac{{{y}^{{2}}}}{{{81}}}}={1}\)
bobbie71G
2021-08-09
Answered
Show that the equation represents a conic section. Sketch the conic section, and indicate all pertinent information (such as foci, directrix, asymptotes, and so on).
\(\displaystyle{\left({a}\right)}{x}^{{2}}–{2}{x}–{4}{y}^{{2}}–{12}{y}=-{8}{\left({b}\right)}{2}{x}^{{2}}+{4}{x}-{5}{y}+{7}={0}{\left({c}\right)}{8}{a}^{{2}}+{8}{x}+{2}{y}^{{2}}–{20}{y}={12}\)
preprekomW
2021-08-09
Answered
Find the equation of the graph for each conic in standard form. Identify the conic, the center, the vertex, the co-vertex, the focus (foci), major axis, minor axis,
\(\displaystyle{a}^{{2}},{b}^{{2}}\)
, and
\(\displaystyle{c}^{{2}}\)
?. For hyperbola, find the asymptotes. Sketch the graph.
\(\displaystyle{y}^{{2}}+{4}{y}-{2}{x}+{6}={0}\)
floymdiT
2021-08-09
Answered
Find the equation of the graph for each conic in general form. Identify the conic, the center, the vertex, the co-vertex, the focus (foci), major axis, minor axis,
\(\displaystyle{a}^{{2}}\)
,
\(\displaystyle{b}^{{2}}\)
, and
\(\displaystyle{c}^{{2}}\)
. For hyperbola,find the asymtotes.Sketch the graph
\(\displaystyle{\left({x}-{2}\right)}^{{2}}+{\left({y}-{1}\right)}^{{2}}={49}\)
Elleanor Mckenzie
2021-08-08
Answered
A solid is formed by cutting a conical section away from a right circular cylinder. If the radius measures 6 in. and the altitude measures 8 in., what is the volume of the resulting solid?
Jason Farmer
2021-08-08
Answered
A polar equation of a conic is given.
\(\displaystyle{r}=\frac{{8}}{{1}}+{2}{\cos{{\left(\theta\right)}}}\)
BolkowN
2021-08-08
Answered
Find an equation of the conic described.Graph the equation.
Parabola; vertex at (0,0); directrix the line y=-3
Jaya Legge
2021-08-08
Answered
Find the equation by determining the type of the conic and draw its graph.
\(\displaystyle{25}{x}^{{2}}+{9}{y}^{{2}}-{100}{x}+{54}{y}-{44}={0}\)
lwfrgin
2021-08-08
Answered
Find the equations of the parabolas that share a vertex and a focus with the ellipse. Draw the conics.
\(\displaystyle{25}{x}^{{2}}+{9}{y}^{{2}}={9}\)
Trent Carpenter
2021-08-08
Answered
Find the equation of the graph for each conic in general form. Identify the conic, the center, the vertex, the co-vertex, the focus (foci), major axis, minor axis,
\(\displaystyle{a}^{{2}}\)
,
\(\displaystyle{b}^{{2}}\)
, and
\(\displaystyle{c}^{{2}}\)
. For hyperbola,find the asymtotes.Sketch the graph
\(\displaystyle{\left({y}+{7}\right)}^{{2}}+{\left({x}-{5}\right)}^{{2}}={25}\)
texelaare
2021-08-08
Answered
Find the equation of the graph for each conic in general form. Identify the conic, the center, the vertex, the co-vertex, the focus (foci), major axis, minor axis,
\(\displaystyle{a}^{{2}}\)
,
\(\displaystyle{b}^{{2}}\)
, and
\(\displaystyle{c}^{{2}}\)
. For hyperbola,find the asymtotes.Sketch the graph
\(\displaystyle{9}{\left({y}-{3}\right)}^{{2}}-{4}{\left({x}+{5}\right)}^{{2}}={36}\)
ringearV
2021-08-08
Answered
Find the largest and smallest distances from the origin to the conic whose equation is
\(\displaystyle{5}{x}^{{2}}-{6}{x}{y}+{5}{y}^{{2}}-{32}={0}\)
and hence determine the lengths of the semiaxes of this conic.
usagirl007A
2021-08-08
Answered
Draw the curve of the given equations a.
\(\displaystyle{x}^{{2}}+{y}^{{2}}+{6}{x}-{12}{y}+{29}={0}\)
, b.
\(\displaystyle{y}^{{2}}-{w}{x}-{8}{y}+{10}={0}\)
Mylo O'Moore
2021-08-07
Answered
Find the equation of the graph for each conic in general form. Identify the conic , the center , the vertex , the co-vertex , the focus(foci) , major axis , minor axis ,
\(\displaystyle{a}^{{2}}\)
,
\(\displaystyle{b}^{{2}}\)
and
\(\displaystyle{c}^{{2}}\)
. For hyperbola , find the asymptotes. Sketch the graph.
\(\displaystyle{25}{\left({x}+{2}\right)}^{{2}}-{144}{\left({y}-{1}\right)}^{{2}}={\left({25}\right)}{\left({144}\right)}\)
a2linetagadaW
2021-08-07
Answered
Identify and sketch the graph of the conic section.
\(\displaystyle{9}{x}^{{2}}+{9}{y}^{{2}}+{18}{x}-{18}{y}+{14}={0}\)
vestirme4
2021-08-07
Answered
Find the equation of the graph for each conic in standard form. Identify the conic, the center, the vertex, the co-vertex, the focus (foci), major axis, minor axis,
\(\displaystyle{a}^{{2}},{b}^{{2}}\)
, and
\(\displaystyle{c}^{{2}}\)
?. For hyperbola, find the asymptotes. Sketch the graph.
\(\displaystyle{9}{x}^{{2}}-{y}^{{2}}+{36}{x}+{4}{y}+{23}={0}\)
tinfoQ
2021-08-07
Answered
Find the equation of the graph for each conic in general form. Identify the conic, the center, the vertex, the co-vertex, the focus (foci), major axis, minor axis, a 2, b 2, and c 2. For hyperbola, find the asymptotes. Sketch the graph.
\(\displaystyle{12}{\left({x}+{3}\right)}^{{2}}+{12}{\left({y}+{2}\right)}^{{2}}={12}\)
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