Find the equation of the ellipse whose foci are at (7,3) and ( 21,3),and the length of its major axis is 28. Select one: 03( x+14) + 4( y+3 ) = 588 O None 03( x-14) + 4 (y-3 ) = 49 03( x-14) + 4 (y-3 ) = 588 04( x-14) + 3 (y-3 ) = 588

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 the equation of the Hyperbola whose Foci are at (6,4) and ( 30,4),and the length of its…

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Q: What is the length of the minor axis of the ellipse 4x² + 32x + y² – 4y + 52 = 0? 0 4/3 0 4 0 8 O 45

A: Topic = Ellipse

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: What is the general form of equation of an ellipse if its center is at (3,-1), a = 4, b = 3 and its…

A: The standard form of an ellipse is [(x – c1)2 / a2 ] + [(y- c2)2 / b2 ] = 1 Where (x, y) –…

Q: Determine the general form of equation of an ellipse whose standalu (x-2)2 (y+3)2 + = 1. 9 4 1.…

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Q: The center of the ellipse with the given equation 4(x – 5)2 + 3(y – 4)2 = 48 is

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Q: Find an equation of the ellipse that has center (-5, -4), a minor axis of length 8, and a vertex at…

A: Major axis can be found by using distance formula between center and vertex.

Q: Find the equation to the ellipse whose centre is at the origin and the axes are the axes of…

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Q: 5. Find the vertices and foci of the ellipse given by the equation. 4x +9y² - 32x–36y+64=0

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

A: Vertices V (0,±5), minor axis of length 3

Q: Find an equation of the ellipse that has center (-5, 2), a gmjor axis of length 4, and endpoint of…

A: Equation of ellipse:x-h2a2+y-k2b2=1

Q: Find an equation of the ellipse having a major axis of length 10 and foci at (2, -2) and (2, –8).…

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Q: Find an equation of the ellipse having a major axis of length 8 and foci at (6, 3) and (0, 3). OP…

A: Given query is to find the equation of ellipse.

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 for the ellipse that has its center at the origin and satisfies the given…

A: This is a problem related to conics section. Based on the general formula and concepts we will find…

Q: Find an equation of the ellipse having a major axis of length 6 and foci at (-1, 4) and (-1,0). D=0

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Q: Express the equation of an ellipse 16x² +9y² – 64x-54y+1=0 in standard form. Hence, find the centre,…

A: The standard form of equation of ellipse is x-x02a2+y-y02b2=1 and eccentricity of ellipse is…

Q: Find the envelope of the family of ellipses defined by the equation x2a2+y2b2=1 provided that…

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Q: Find the points on the ellipse  X^2 + 6y^2 + 3xy =40 With the greatest x coordinator

A: Let us assume thatfx,y=xandgx,y=x2+6y2+3xy-40The lagrange multiplier equations…

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: Write the equation of the ellipse 4x + 9y² + 72x + 108y + 612 = 0 in standard form. O (*+9)² +…

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Q: Find the standard form of the equation of the ellipse and give the location of its foci. Ay 6- 4- 12…

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Q: Find the equation of the Hyperbola whose Foci are at (6,4) and ( 30,4).and the length of its…

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Q: Find an equation of the ellipse having a major axis of length 10 and foci at (5,-1) and (-1, -1).…

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Q: Find an equation of the ellipse having a major axis of length 12 and foci at (1, –5) and (-5, -5).…

A: We have to find equation of ellipse having major axis of length 12 and foci at (1, -5) and (-5, -5)…

Q: Find the points on the ellipse x^2 + 9y^2 = 9 and the line x + y = 10 that are closest and farthest…

A: Distance between the two points: - The length of the line segment connecting two places is called…

Q: Find the standard equation of the ellipse whose major and minor axes are the transverse and…

A: We need to find standard equation of ellipse.

Q: What is the standard form of the ellipse whose equation is 4z +3y-16z + 9y+16 -0? Drag an expression…

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Q: The center of the ellipse with the given equation 4(x – 5)² + 3(y – 4)2 = 48 is %3D (-5, 4) (4, 5) O…

A: Solving the problem by finding the centre in standard form.

Q: Find an equation of the ellipse having a major axis of length 12 and foci at (0, 4) and (-4, 4). 몸…

A: See the details solution in below

Q: The equation x2- x   y + y 2  = 3  represents a “rotated ellipse,” that is, an ellipse whose axes…

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Q: Consider the following. У 2 1- -3 -1 3 4 -1 -2 Find an equation of the ellipse. Find its foci. (х,…

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

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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: Find an equation of the ellipse having a major axis of length 12 and foci at (5, 3) and (-3, 3). 2 2…

A: We want to find equation of the ellipse from the given data.

Q: Find the equation of the ellipse whose graph is shown below. 2 1- (-1,0) -3 -2 2 -1 (0, -2) -2 O…

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Q: Find the equation of an ellipse whose foci belong to the x-axis and passes through the points (4,3)…

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Q: Find the equation of the ellipse whose foci are at (2,1 ) and ( 6,1),and the length of its major…

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Q: Find the standard form of the equation of the ellipse and give the location of its foci.

A: Given,

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

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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: Find an equation of the ellipse that has center (2, -4), a minor axis of length 2, and a vertex at…

A: Trace the equation

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: Find an equation of the ellipse that has center (-2, – 1), a minor axis of length 2, and a vertex at…

A:

Q: Find the equation of the ellipse x2 + 9y2 - 4x - 72y + 139 = 0 and locate the coordinates of the…

A: Given the equation of the ellipse, x2+9y2-4x-72y+139=0

Q: Find an equation of the ellipse that has center (-1, -2), a minor axis of length 8, and a vertex at…

A: Given that: Centre of ellipse, (h, k)=(-1, -2)Minor axis length, 2b=8Vertex= (-6, -2)