y2-6y+4x-9=0 a) determine the type of conic b) find the standard form of the equation c) sketch the graph of the conic d) find all important points based on the info below Parabolas: vertex, focus, directrix Circles: Center, radius Ellipses: center, vertices, co-vertices, foci Hyperbolas: center, vertices, co-vertices, foci, asymptotes

Q: Find a polar equation for the conic Parabola with its focus at the pole and the vertex (2, π/2)

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Q: Find the standard form of the equation of the conic section satisfying the given conditions,…

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Q: Select the conic section represented by the equation. y 2 - x = 0 line parabola hyperbola circle…

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Q: Determine the equation of a conic section...(Hyperbola) Given: center (-9, 1) distance between F1…

A: Given: center (-9, 1) distance between F1 and F2 = 20 units distance between CV1 and CV2 = 4 units…

Q: Find the focus, equation of the directrices, lengths of major axis, minor axis and focal diameters,…

A: The given equation is 16x2+4y2=1. The general equation of the ellipse is x2a2+y2b2=1 and b>a.…

Q: 3. Find the equation in xy coordinates for the conic section that satis following conditions:…

A: Given that: 3. e=45,   centre = (-3, 2) and vertex (2, 2) NOTE: As per our answering guidelines, we…

Q: 9. Find equation (in an Rectangular) for the conic that satisfies the given conditions: Parabola…

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Q: Which degenerate conic is formed when a double cone is sliced through the apex by a plane parallel…

A: Given question:- Which degenerate conic section is formed when a double cone is sliced through the…

Q: Identify the type of conic, assuming a > 0: r = 1+ V7sine Ellipse. O Parabola. O Hyperbola.

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Q: Identify the conic, analyze the equation (center, radius, vertices, foci, eccentricity, directrix,…

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Q: A football is kicked from the ground 70 yards along a parabolic path. The maximum height of the ball…

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Q: Find the focus, equation of the directrices, lengths of major axis, minor axis and focal diameters,…

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Q: Show that a conic with focus at the origin, eccentricity ,and directrix y=-d  has polar equation r…

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Q: The diagram shows a conic with focus F, directrix d and a point, T, on the directrix. From the point…

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Q: 2. x + 6x = y² + 16y

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Q: What is the eccentricity of a conic section? How can you classify conic sections by eccentricity?…

A: Any conic section can be defined as the locus of points whose distances to a point (the focus) and a…

Q: Find the standard form of the equation of the conic section satisfying the given conditions,…

A: Given focus is (-2,6) and the directrix is x=8.

Q: Make a sketch showing the general shape of the graph of the equation. Then find the conic section's…

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Q: Determine the equation (both standard and general) of the following conic sections based on the…

A: To find the equation of the conic sections with the given conditions

Q: Sketch the parabola and ellipse. Include the directrix that corresponds to the focus at the origin.…

A: The given polar equation r=62+cosu The polar equation of the form  r=ep1±ecosθ This conic will have…

Q: Find the focus, equation of the directrices, lengths of major axis, minor axis and focal diameters,…

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Q: Find an equation for the conic that satisfies the given conditions. ellipse, foci (0, –1), (8, –1),…

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Q: find the equation of the conic section indicated Ellipse with vertices (±8, 0), foci (±√3, 0)

A: Coordinates of vertices - ±a, 0 = ±8, 0a = 8Coordinates of foci - ±c, 0 = ±3, 0c = 3Let's find b -…

Q: 2. Identify the conic as a hyperbola, parabola, or ellipse and find the foci (c) 4x = y? %3D

A: identify the conic and use the equation to find the focus,

Q: Find the focus, equation of the directrices, lengths of major axis, minor axis and focal diameters,…

A: Given 5x2+4y2=1 This equation becomes  x215+y214=1x2152+y2122=1 Comparing with the equation,…

Q: Find an equation for the conic section with the given properties. The hyperbola with foci F1(3, -5)…

A: We have to find the equation of the conic section.

Q: What is the relation of the conic section to the milk bottle?

A: The milk bottles have a cylindrical body in majority.  Now, if you can imagine a milk bottle filled…

Q: Name the conic that has the given properties and find its Cartesian equation. Eccentricity 1,…

A: A conic section is obtained by slicing the cones at different angles. There are three types of…

Q: identify the kind of conic section being illustrated

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Q: 2. Which conic section is represented by the équation 2x2 + 4x- y +9 = 0? O Hyperbola Ellipse O…

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Q: Show that a conic with focus at the origin, eccentricity e ,and directrix x = - d has polar…

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Q: Solve for the standard equation of the given characteristics of each conic then graph. Show complete…

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Q: Consider the conic section given by the polar equation 4 1-sin 0 (a) (b) r= Without converting into…

A: We have to solve given problems:

Q: Identify the type of conic, assuming a > O: a V5 - coso O Ellipse. Parabola. O Hyperbola.

A: Please refer the attached image for complete solution.

Q: (b) Show that the equation r² – 4x + 4y2 – 12 = 0 represents a conic section. Sketch the conic…

A: To show: The equation x2 – 4x + 4y2 – 12 = 0 represents a conic section.Proof:

Q: Identify the conic section that appears in the drawing of a wooden pencil in the figure.

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Q: What are the intersections of the conic section formed by the points A(0,1),B(2,3),C(5,4),D(1,…

A: Below are graph and input view.

Q: Identify the conic represented by the equation 3 r = 1- cos(0) ellipse parabola O hyperbola

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Q: is an ellipse, label the center as well. 40 r= 8-2 cos 0

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Q: What are conic sections. Explain it.

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Q: Consider the conic section given by the polar equation 4 1-sin 0 r= (a) Without converting into…

A: GIVEN EQUATION r=41-sinθ (a) without converting into cartesian form , identify the conic section…

Q: 6 Select the conic section represented by the equation. 5x 2 + 5y 2 = 0 point hyperbola  line…

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Q: 4. (a) Write down the standard form and give the name of the conics – 3x + 5y² +12x + 40y + 53=0.…

A: To find-  Write down the standard form and give the name of the conics -3x2 + 5y2 + 12x + 40y + 53…

Q: Find the standard form of the equation of the conic section satisfying the given conditions,…

A: Given Hyperbola; Foci: (-4, 5), (2, 5); Vertices: (-3, 5), (1, 5)

Q: Select the conic section represented by the equation. 2x + 5y - 7 = 0 circle ellipse point line…

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Q: Identify the conic section whose equation in standard form is x 2 + 2y 2 - 3x + 8y = 10. ellipse…

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Q: Identify the type of conic section whose equation is given. 2x² = y² + 2 hyperbola parabola O…

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Q: Given : 9x^2 - 16y^2 - 18x-32y-151 =0  ? parabola, ellipse, hyperbola, circle [1] Identify the…

A: 9x2 - 16y2 - 18x-32y-151 =0 parabola, ellipse, hyperbola, circle [1] Identify the conic by…

Q: Name the conic that has the given properties and find its Cartesian equation. Vertices (±4, 0) and…

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