Find the standard equation of the ellipse whose major and minor axes are the transverse and conjugate axes (not necessarily in that order) of the hyperbola y2 - x2 - 4x – 4y – 4 = 0.

Q: Find equations of the osculating circles of the ellipse 4x2 + 9y2 = 36 at the points (3, 0) and (0,…

A: Concept- we can find equation of oscillating circle with the help of parametric equation.

Q: Find an equation of a hyperbola in the form x2 /M - y2 /N = 1 M,N > 0 if the origin is at the…

A: Solution is given below:

Q: Find the general equation of the ellipse that shares a vertex and a focus with the parabola defined…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

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: 5, Rearrange the equation 4x² + 20x = 6y + 36y + 5 into the standard fo %3D hyperbola.

A: Given query is to find write the standard form of hyperbola.

Q: 2. Find the equations of all horizontal parabolas whose focus is the center of the ellipse 9a? +17y²…

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Q: transform into standard form of hyperbola x^2-y^2+6x-4y-4=0

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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: Sketch the hyperbola 9x² – 4y² – 18x + 8y – 31 = 0, and label the center, foci and vertices. Find…

A: Given : 9x2-4y2-18x+8y-31=0

Q: Rewrite the equation of the hyperbola 9x? – y? – 36x – 6y + 18 = 0 in standard form and identify - -…

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Q: Find an equation for the conic whose graph is shown. y 10 5 K11, 0) 10 15

A: Given,

Q: Determine the point on the hyperbola −9x^2+7y^2=10 closest to the point (-9, 0). Give the x…

A: Here we have to find the point on the hyperbola -9x2+7y2=10 closest to the point (-9,0).

Q: Find the length of major axis of the ellipse x^2+4y^2-2x-8y+1=0

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Q: Find an equation of the line in parametric form that passes through the vertex of the paraboloid…

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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: Convert the equation 25x2 + 4y2 - 150x + 32y + 189 = 0 to standard form by completing the square on…

A: Given: The equation of ellipse as 25x2+4y2-150x+32y+189=0 To find: the standard equation of ellipse,…

Q: Which of the following is the equation of a vertical ellipse with center (4,6) Major axis 18 and…

A:

Q: 2. Suppose that the equation Ax + Bxy + Cy² + Dx + Ey + F = 0 represents a conic section…

A: The equation Ax2+Bxy+Cy2+Dx+Ey+F=0 represents a conic. If B2-4AC>0 , The conic represents…

Q: Find the equation of the hyperbola with vertices at (- 2, 0) and (2, 0) and a focus at (4, 0)

A: Given the hyperbola with vertices at (- 2, 0) and (2, 0) and a focus at (4, 0)

Q: 26. Find the standard form of the equation of the specified ellipse. Foci: (1, 5), (-3, 5); Major…

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Q: Find an equation for the hyperbola with center C(0,0), foci F(0,±9), and vertices V(0,±7).

A: Plotting the center, foci, vertices on the graph. We can say that the vertical axis is the…

Q: Convert the general equation of the ellipse 3x^2+4y^2-6x-24y+3=0 into standard form and give the…

A:

Q: Find an equation of a hyperbola satisfying the given conditions. Vertices at ​(1​,−7​) and ​(1​,1​);…

A: Given that the Vertices at ​(1​,−7​) and ​(1​,1​). So the center will be at the midpoint Center=…

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 equation of the ellipse whose foci are F1 (0,8) and F2 (0,-8) such that for any…

A: Given, The foci of the ellipse  F1 (0,8) and F2 (0,-8) Sum of distance of any point from the foci =…

Q: Show that the ellipse 4x + 9y = 45 and the hyperbola x - 4y = 5 are orthogonal %3D

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Q: Find the point on the ellipse x2 + 6y² + 3xy = 40 with the largest x-coordinate (Figure ). -8 FIGURE…

A: Given: x2+6y2+3xy=40

Q: Find the equation of a hyperbola whose vertices are (+2,0) and whose foci are (+5,0). x2 A) 4 = 1 21…

A:

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

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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: The center of the hyperbola 25x² – y + 150x – 6y+191=0 is %3D A (-3,-3) B (3,-3) (3,3) D (-3,3)

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Q: Find the equation of Hyperbola using only the following information: Center at (0, 0) Vertices at…

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Q: Find the standard form of the equation of the hyperbola.

A: Consider the provided graph,

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

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Q: Find the equation for the hyperbola with center C(0,0), foci F(0,±9), and vertices V(0,±7).

A: given center C(0,0) , foci(0,±9) and vertices (0,±7) of hyperbola  we have to find the equation for…

Q: Find the center of the ellipse given by x² – 2x + 2y? - 12y +3 0. Enter as an ordered pair without…

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Q: Write the equation of a circle passing through the vertices of the hyperbola 4x2-9y2=36 and having a…

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Q: Find the standard equation of the parabola opening to the left whose axis contains the major axis of…

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Q: 6. Rearrange the equation -5x + 3y - 40x-42y+52 0 into the standard form for a hyperbola. %3D babel…

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Q: Identify the general equation, as well as the coordinates of the foci of the following ellipse that…

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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: Write the equation of the hyperbola 25z – 16y + 150z + 64y- 239 = 0 in standard form %3D (2 - h) (y-…

A: Equation of hyperbola 25x2+ 150x-16y2+64y-239= 0 25( x2+6x)-16(y2-4y)= 239…

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

A: Please check step 2 for the solution

Q: Find the standard equation of the ellipse whose foci are F,(-3, 0) and F2(3, 0), such that for any…

A: Given:   Foci : (-3,0) (3,0)    Distance from foci : 10

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

A:

Q: For the equation 9x + 4y - 54x-8y-59 = 0, classify the conic section, put the equation in standard…

A: Explanation: Given that,  9x2+4y2-54x-8y-59=0   Here we use the completing the square method in term…

Q: Find the general equation of the ellipse that shares a vertex and a focus with the parabola defined…

A: For the equation of the parabola , the vertex is and the focus is . For the equation of the ellipse…

Q: The ellipse 15x^2+2x+y^2=1 has its center at the point (b,c) where b = c=

A: To find the center at the point b, c of the ellipse,15x2+2x+y2=1b=?c=?

Q: Find the standard form of the equation of the specified ellipse. 28. Foci: (6, 2), (0, 2); Major…

A: We need to find equation of ellipse.