Find the focus, equation of the directrices, lengths of major axis, minor axis and focal diameters, and draw the conic defined by 5x2 + 4y2 1.

Q: 10 Select the conic section represented by the equation. y 2 - x = 0 parabola line circle…

A: y2-x=0⇒y2=x Recall: y2=4ax with a>0 is the general equation of the open right parabola given…

Q: Find an equation for the conic that sa tisfies the given conditions. parabola, focus (-4, 0),…

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Q: Find an equation for the conic that satisfies the given conditions ellipse, foci (0, +9), vertices…

A: Solve the following

Q: Find the center, vertices, foci and eccentricity of the conic section whose  equation is 20x^2 +…

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Q: Identify the conic withthe given equqtion and give its equation in the standard form.2xy+2√2x-1=0

A: Given  the equation of the curve  2xy+22x-1=0 we need to find the conic and its equation in the…

Q: Identify the conic section that equation 16x^2-96x+288=9y^2 represents and find either: a) it’s foci…

A: We use completing square method to convert it into standard form

Q: identify the conic of the equation 4x² + 9y² − 16x + 18y = 11, specifying the center and radius if…

A: The standard equation of a conic section is defined by the equation, Ax2+Bxy+Cy2+Dx+Ey+F=0 .

Q: Find an equation for the conic whose graph is shown. y (4, 3) 2. 2.

A: Since given shape is  ellipse . So will use standard equation of it .

Q: Find an equation for the conic that satisfies the given conditions. parabola, focus (5, -3), vertex…

A: The general form of the parabola is given by: y=a(x-h)2+k...(1) where (h,k( is the vertex of the…

Q: Identify the conic given by *-8)² _ (v-9)* 64 O hyperbola circle ellipse O parabola

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Q: Find the center, foci, vertices, asymptotes, and radius, as appropriate,of the conic sections x2 +…

A: Consider the given equation: Here the objective is to find whether the given equation represents a…

Q: 9 Select the conic section represented by the equation. 4y - 3 = 0 parabola line ellipse…

A: We will find the conic section which is represented by the equation.

Q: Find the equation of the conic section indicated. Parabola with focus (8, 0), directrix x = −8

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

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Q: Identify the conic section given by the following equation as a parabola, ellipse, circle, or…

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Q: Find the center, foci, vertices, asymptotes, and radius, as appropriate, of the conic section y2 -…

A: y2-4x2+16x=24 On simplification, we get…

Q: Find the equation of the conic section indicated. Parabola with vertex (4, −1), directrix x = 15

A: Vertex is 4, -1 and directrix is x=15. Now vertex is, h, k=4, -1⇒h=4  &  k=-1 & Directrix…

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

A: 8x2+7y2=1⇒x218+y217=1⇒x21222+y2172=1 Now comparing with x2b2+y2a2=1, we get a=17  &  b=122 Now…

Q: Identify the conic section given by the following equation. x² + y² = 78x – 84y – 3116 - Select the…

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

A: Consider the given second-degree equation: x2+10x-12y+13=0 Here, the objective is to identify the…

Q: Identify the conic represented by the equation 16x2 + 64x + 9y2 - 54y + 1=0, without completing the…

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: Find an equation for the conic that satisfies the given conditions. parabola, focus (2, -4), vertex…

A: The focus and vertex lie on a line x=2 and the focus is below the vertex. Hence this is a downward…

Q: Identify the conic section given the general form of its equation: 26x2-5y2-61x +361y-1072=0 a.…

A: 26x2-5y2-61x+361y-1072 = 0 is the given equation.

Q: Find the center, foci, vertices, asymptotes, and radius, as appropriate, of the conic section. x +…

A: Given Equation; x2 + 6x + 8y -15 =0

Q: Find an equation for the conic that satisfies the given conditions. parabola, vertex (1, 2),…

A: Use equation of parabola and pass through point

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

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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: 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 conic given by -° -) ., (x- 8)²_ (y-9)² 64 - 1 4 hyperbola circle ellipse O parabola

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Q: Find the equation of the conic with focus at the origin, eccentricity e and the directrix y = d.

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Q: If a conic has rmin = 9 and rmax = 17 , find the eccentricity and semi-major axis.

A: Answer is mentioned below

Q: Find the center, foci, vertices, asymptotes, and radius, as appropriate, of the conic section…

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Q: Determine what type of conic section corresponds to the given equation. (3x + y)² – 2y = x Ellipse.…

A: We have to check the given equation.

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

A: 3x2-2y2+24x+12y+24=0 On simplification, we get…

Q: Identify the type of conic section whose equation is given and find the vertices and foci. y? – 2 =…

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Q: If a conic has rmin = 18 and rmax = 30, find the eccentricity and semi-major axis

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Q: Identify this conic, list the necessary parts and then graph it: 2x2 +2y2 +8x=7

A: Given the equation of conic

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

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Q: DId entify, and find the goneraLequabion of the ellipse that ghares avertex and focus with the para…

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Q: Find the center, foci, vertices, asymptotes, and radius, as appropriate,of the conic sections 2x2 +…

A: Given that: The equation is 2x 2 + 2y2 - 28 x + 12 y + 114 = 0 .

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

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Q: Find the center, foci, vertices, asymptotes, and radius, as appropriate,of the conic sections y2 -…

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Q: Sketch the conic sections. Indicate the foci, and show your work: A) 4x2+3y2+8x-6y=5 B)…

A: A)Given equation is,

Q: Identify what type of conic section is given by the equation below and then find the center, foci,…

A: the given equation of the curve is: 4x2-24x-4y+28=y2 we have to identify what type of conic section…

Q: Find an equation for the conic that satisfies the given conditions. hyperbola, foci (2, 0), (2, 12),…

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Q: What type of the conic section is this given equation: 4x2 5x +23 = 2 (10 – 2y²) %3D | O HYPERBOLA O…

A: please check the given equation. for given equation, none type of conic section exist.

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

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