The foci of the hyperbola are (SQRT12, 0) and (-SQRT12,0), and the asymptotes are y=SQRT11 x and y=-SQRT11 x.  Find an equation of the conic section with the given properties. Use x and y as the variables in your answer.  = 1

Q: Find the asymptotes of the hyperbola. y^2-x^2=4

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Q: The foci of the hyperbola are (0, -10) and (0, 20), and the asymptotes are y = 3/4x + 5 and y =…

A: Given, foci and asymptotes of hyperbola

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: Find the standard form of the equation of th parabola with: and Focus (-2, 6) Directrix X = 8

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Q: Find the standard form of the equation of the hyperbola satisfying the given conditions. Endpoints…

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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: Amie claims that the equation 4(x+3)' +y² =1 represents a circle with the center at (-3,0) and the…

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Q: Solve for the equation in standard form of the following conic sections and graph the curve on a…

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Q: Below is the equation of a conic section such that the ordered pair (Fx, Fy) corresponds to its…

A: Equation of conic section is F(x,y)=85x2+4y2-1360x+56y+5296          (1) Also given that the pair…

Q: ind of an equation of a hyperbola in the form x2 / M

A: Given that:                               Centre of the hyperbola = Origin=(0, 0)Length of…

Q: Find an equation of the hyperbola that has foci at (0, -6) and (0, 6), and asymptotes y=x and y=-x.…

A: We will solve the problem

Q: Find the equation of the hyperbola with the following properties. Express your answer in standard…

A: Given:- Foci at (6,-4) and (6.6)   Asymptotes of y - 1 = ±(3/4)(x - 6) To find:- Find standard…

Q: Find the equation of the hyperbola having center at the origin with transverse axis on the x-axis,…

A: Given-  Hyperbola having center at the origin with transverse axis on the x-axis, a=4, and latus…

Q: Determine the type of conic section, give its equation, and clearly graph with coordinates: 9x2 +…

A: According to the given information it is required to determine the type of conic section and graph…

Q: Find the standard form of the equation of the hyperbola with the given characteristicS Foci: (0,…

A: The hyperbola has,  Foci: 0,±9; asymptotes: y=±3x

Q: Find the equation in standard form of the ellipse whose foci are F1(-8, 0) and F2(8, 0), such that…

A: We have to find equation in standard form of the ellipse.

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

A: We need to rewrite the equation in the form (x-h)^2/a^2-(y-k)^2/b^2=1 by using completing the…

Q: Find the center, foci, vertices, and eccentricity of the hyperbola                         ( y +…

A: y+32225-x-5264=1⇒y--32152-x-5282=1 Now comparing with y-k2a2-x-h2b2=1, we get k=-3, h=5, a=15 &…

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

A: Given, x2 + 2x + 4y - 3 = 0

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: Find an equation for the hyperbola that has its center at the origin and satisfies the given…

A: Given: Foci F0,±5, conjugate axis of length 4 For given data transverse axis is on y-axis and…

Q: Determine the type of conics for each equation using the discriminant. 24. 4x2+y2 +24x-4y+36 = 0 25.…

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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: Given the following conic section, determine its shape and then sketch its graph. x² – 2ry + y² + x…

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Q: 2. Which conic section is represented by x2 + 6y-7 0? Circle Hyperbola Ellipse Parabola

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Q: Find the center, foci, vertices, asymptotes, and radius, as appropriate, of the conic section  x^2 +…

A: Given: x2+4x+y2=12 write the equation as a sum or difference of two square terms.…

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

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Q: Find an equation for the conic that satisfies the given conditions. parabola, vertical axis, passing…

A: A parabola with vertices passing through 0,5,1,4, and -2,-5. Find the equation for the conic that…

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: Find the standard form of the equation of the hyperbola satisfying the given conditions.…

A: use formula for the standard equation of a hyperbola.

Q: The foci of the hyperbola are (0, -6) and (0, 14), and the asymptotes are y = *+ 4 and y = x + 4.…

A: It is known that the equation of the hyperbola is of the form x-h2a2-y-k2b2=1 or y-k2a2-x-h2b2=1.…

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

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Q: The foci of the hyperbola are (V 13,0) and (-V13, 0), and the asymptotes are y = / 12 x and y = -V…

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Q: find an equation for the hyperbola with center C (0,0), vertices V (+-4,0), and foci F (+-6,0)

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Q: Find the standard form of the equation of the hyperbola satisfying the given conditions.…

A: Given that the foci at (-10,0), (10,0) so this hyperbola is horizontal.  It will have the vertices…

Q: Sketch the graph and find the foci of the given hyperbola a. x2-y2=1 b. y2-x2=1

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Q: Name the conic that has the given properties and find its Cartesian equation. Vertices (±2, 0) and…

A: The standard form of the hyperbola with center at origin is .  Here, are the vertices and…

Q: Show that the equation x2 - 4y2 + 2x + 8y - 7 = 0 represents a hyperbola. Find its center,…

A: Given: x2-4y2+2x+8y-7=0 first we converting given equation in standard form so,…

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

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Q: Find an equation for the hyperbola that has its center at the origin and satisfies the given…

A: The standard form of a vertical hyperbola is: (y-k)2a2-(x-h)2b2=1                        ...(i)…

Q: Find the equation of the hyperbola that has its center at the origin and satisfies the given…

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Q: Find an equation for the hyperbola that has its center at the origin and satisfies the given…

A: Given: Foci F (0,±4) Vertices V(0,±1)

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

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Q: Find an equation of the paranola in standard form: with the vertex at V (2,-4) and directrix y= -5

A: Find an equation of the parabola in standard form: with the vertex at V (2,-4) and directrix y= -5

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: Write an equation for the hyperbola that has foci at (0, v65) and (0, - v65), and asymptotes y =…

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

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Q: The equation of the hyperbola whose foci are (0, 6) and (0,-4) and and one asym y-1= 2z is Select…

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Q: Find an equation for the hyperbola that has its center at the origin and satisfies the given…

A: Recall that the equation of hyperbola with horizontal transverse axis is given by x-h2a2-y-k2b2=1…

Q: 11. X-3x+5y-930

A: We find find what this equation represents as following.