Which of the following is the equation of a vertical ellipse with center (4,6) Major axis s = 18 and minor axis = 12?

Q: Find an equation of the ellipse that has center (-3, 4), a minor axis of length 4, and a vertex at

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Q: Which of the following is the equation of a vertical ellipse 20 and minor axis = 10? with center (-9…

A: To find the equation of the vertical ellipse :

Q: Find an equation of the ellipse having a major axis of length 6 and foci at (-5, 3) and (-5, -1).…

A: Given problem:- Find an equation of the ellipse having a major axis of length 6 and foci at (-5, 3)…

Q: Find an equation of the ellipse that has center (-3, 5), a minor axis of length 2, and a yertex at…

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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: Find the standard equation of the ellipse with center (5, 3), horizontal major axis of length 20,…

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Q: Find lengths of minor and major axis for ellipse that has equation 16x2 + 4y2 = 16

A: Given, 16x2 + 4y2 = 16

Q: 7. Write the equation of the ellipse with a minor axis length of 8 units and foci at (-7, 4) and…

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Q: Find an equation of the ellipse that has center (2, -2), a minor axis of length 6, and a vertex at…

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Q: Find an equation of an ellipse with center at (0,0), vertices (±6,0) and eccentricity 3/5:

A: Given : Center of an ellipse (0, 0). Vertices of an ellipse are (6, 0) and (-6, 0) Eccentricity =…

Q: Find the equation of the ellipse with the given properties: Vertices at (± 7, 0) and endpoints of…

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

A: Our Aim is to find the standrad form of the eliipse satisfying the given conditions:-Endpoints of…

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 (-3, 3) and (- 3, – 3).

A: This is a problem of locus and analytical geometry.

Q: Find an equation for the ellipse with center (2, 0), foci (2, ±3) and major axis of length 8.

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Q: The center of the ellipse with the given equation 4(x - 5) + 3(y - 4)? = 48 is (-5, 4) (4, 5) Option…

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Q: Find the standard form of the equation of the ellipse with the given characteristics.

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Q: What is the equation of the given ellipse? YA

A: Vertex ( -3 , 2 ) covertex ( -1 , -1.5 )   Center= ( h , k )= ( -3 , - 1.5 )   Major axis b = 2 - (…

Q: Find the standard form of the equation the ellipse whose major axis is vertical with length 10, with…

A: standard form of ellipse is(x-h)2b2+(y-k)2a2=1where(h,k)≡(-2,3)b=4 and a=10therefore equation of…

Q: Find an equation of the ellipse that has center (4, -4), a major axis of length 8, and endpoint of…

A: topic - equation of ellipse

Q: Find the standard form of the equation of the ellipse with the given characteristics. y (5, -3) (3,…

A: We will find the standard form of the equation of the ellipse in the following step

Q: What is the center, the major axis length, the minor axis length and the equation of the ellipse…

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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 standard form of the equation of the ellipse satisfying the given conditions. Endpoints of…

A:

Q: Find an equation of the ellipse that has center (4, -4), a major axis of length 8, and endpoint of…

A: Given that: Centre of ellipse =(4, -4)Major axis, 2a=8End point of minor axis = (7, -4)

Q: Find an equation of the ellipse having a major axis of length 12 and foci at (0, 5) and (0, 1). =D ?

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Q: Find an equation of the ellipse that has center (-3, 0), a minor axis of length 4, and a vertex at…

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Q: Picture of question is attached.

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Q: What is the equation of the ellipse with center at (0, 0) and vertices at paints (2, 0). (0, 3), and…

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Q: d an equation of the ellipse that has center (1, 3), a major axis of length 6, and endpoint of minor…

A: Given, The center of the ellipse =1,3 Length of the major axis = 6 End point of the minor axis = 1,…

Q: Find the standard form of the equation the ellipse whose major axis is vertical with length 10, with…

A: Since the major axis is vertical so the standard form will be:

Q: Find an equation of the ellipse having a major axis of length 12 and foci at (2, 3) and (-6, 3).

A: Let us find the equation of ellipse when major axis & foci are given.

Q: Find an equation of the ellipse that has center (4, -4), a major axis of length 8, and endpoint of…

A: We need to find equation of ellipse.

Q: What is the equation of a vertical ellipse with a center at point (8,-4), a major axis that is 12…

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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 an equation of the ellipse having a major axis of length 12 and foci at (6, –3) and (-4, –3).…

A: Explanation and solutions is given below....

Q: Find an equation of the ellipse that has center (0,-2), a minor axis of length 8, and a vertex at…

A: We have to find the equation of the ellipse.

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 general form is,                            (x-c)2/a2 + (y-d)2/b2  =1. Where (c,d) is centre of…

Q: 1 -1 (5, –4) (3, –5) (7, –5) (5, –6)

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Q: Find an equation of the ellipse that has center (0, -3), a minor axis of length 12, and a vertex at…

A:

Q: Which of the following equations represents an ellipse with X-intercepts ±3 and Y-intercepts ±2?

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Q: Find an equation of the ellipse that has center (0, 3),

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Q: Find an equation of the ellipse that has center (-3, 5), a minor axis of length 2, and a vertex at…

A:

Q: Find an equation of the ellipse having a major axis of length 8 and foci at (5, -3) and (-1, -3).…

A: Finding the equation of ellipse

Q: What is the equation of a horizontal ellipse with a center at point (-2,4), a major axis that is 8…

A: Given : Center (-2,4), Length of major axis = 8 units Length of minor axis = 4 units   To find :…

Q: Write the standard equation of an ellipse with center at (-2, 3), vertex at (-2,7) and a co-vertex…

A: Given data is: center -2,3, vertex -2,7, and co-vertex 1,3

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 the standard form of the equation of the ellipse with the given characteristics. У х -1 (2, –2)…

A: Center is the midpoint of the vertices (0,-3) and (4,-3) Center = (h,k)= (2,-3)

Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.