Find the equation of the ellipse satisfying the following conditions. Write the equations in general form. 1.) Vertices at (1,7) and (1,-7) and one of the covertices at (-1,0) 2.) Center at (5,-4) the length of the horizontal major axis is 8, and the length of the minor axis is 8.

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 standard form of the equation of the ellipse with the given characteristics and center at…

A:

Q: The equation of the ellipse that has a center at (2, 4), a focus at (6, 4), and a vertex at ( – 3,…

A: Given information : center is (2,4) Center is (h,k). so the value of h=2  and k=4 Focus is (6,4) we…

Q: Find the standard form on the equation of the ellipse satisfying the following conditions. Vertices…

A:

Q: Determine the standard equation of the ellipse that satisfies the given properties: foci at (-4, 0),…

A: Given that, Foci of an ellips are = (-4, 0) and (4, 0) And the ellips passes through the point (3,…

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

A: The center of the ellipse is 0,0. The vertices of the ellipse are  0,7 and 0,-7. The focus of the…

Q: Write the equation of the ellipse that is centered at (3, 3) and contains the following points:…

A:

Q: Find an equation for the ellipse described. 3) Vertices at (-6, 5) and (14, 5); focus at (12, 5)

A:

Q: 3.Determine the equation of an ellipse that satisfies the following properties: - the center point…

A:

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: Write an equation for the ellipse centered at the origin with a major axis 14 units long with…

A:

Q: Determine if the equation below describes an ellipse and, if so, give its correct center, foci, and…

A:

Q: Use the given information to find the equation for the ellipse. Center at (5, -5), vertex at (10,…

A: Find the equation of the ellipse.

Q: Find an equation of the ellipse with center at (0, 0); vertex at (0, 4); focus at (0, -2).

A:

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

A: Standard form of an ellipse

Q: Find the equation of the ellipse with foci and 0, and vertices (0, - 2) and (0,2). O x? y2 1 4 %3! O…

A:

Q: The equation of the ellipse that has a center at (6,5), a focus at (9, 5), and a vertex at (11, 5),…

A: Given :center :  6, 5 focus :  9, 5 Vertex :  11, 5

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: Write an equation of an ellipse with the center (2, -4 ), and with a vertical major axis of length…

A: General equation of ellipse having vertical major axis is given by÷   x-h2b2+y-k2a2=1 Where,…

Q: The equation of the ellipse that has a center at (9, 1), a focus at (5, 1), and a vertex at (4, 1),…

A:

Q: .Determine the equation of an ellipse that satisfies the following properties:  - the center point…

A: Given problem:- 3. Determine the equation of an ellipse that satisfies the following properties:  -…

Q: The equation of the ellipse that has a center at (8, 2), a focus at (12, 2), and a vertex at (3, 2),…

A: Given :  An ellipse has a center at (8,2) a focus at (12,2) and a vertex at (3,2).

Q: Find the standard form of the equation of the ellipse that satisfies the given conditions. a. Ends…

A: The distance between the endpoints of the minor axis is equal to 2b, so…

Q: The equation of the ellipse that has a center at (4, 2), a focus at (7, 2), and a vertex at (9, 2),…

A: We will find the equation of ellipse as shown below

Q: The equation of the ellipse that has a center at (1, 4), a focus at (– 2, 4), and a vertex at (6, 4)…

A: center(1,4) focus(-2,4) vertex(6,4)

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

A:

Q: Find the general equation of the ellipse given: covertices at (-1,2) and (-1,-4), focus at (1,-1)

A:

Q: Derive the equation for the ellipse with its center at (0,0), vertex at (0,13) and focus at (0,-12)

A:

Q: The equation of the ellipse that has a center at (9, 2), a focus at (5, 2), and a vertex at (4, 2),…

A: Given that the center is at (9,2)  So, (C,D)=(9,2)  That means C=9 and D=2

Q: Find the equation of the ellipse in general form given the conditions: The foci is 3 units to the…

A:

Q: Find an equation of the ellipse that has center (1, -3), a minor axis of length 2, and a vertex at…

A:

Q: What is the standard form equation of the ellipse that has vertices (–14, 3) and (6, 3) and…

A:

Q: The equation of the ellipse that has a center at (8, 5), a focus at (11, 5), and a vertex at (13,…

A: The equation of ellipse is: To find A, B, C, D

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

A:

Q: Determine the ends of the minor axis of the following ellipse: .(x+3)² (y+4)² = 1 16 25 O (-7, -4)…

A: Use ellipse concept

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

A: Given,           Foci: (0, -6), (0,6); Vertices:(0, -8), (0,8)Since, the foci and vertices have the…

Q: What will be the equation of the ellipse with a center at the origin and passes through the points…

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

Q: Find the equation of the ellipse with vertices at (−10, −4) and (6, −4), and covertices at (−2, −9)…

A:

Q: Write the equation of the ellipse that has a center at (– 5, – 3), a focus at (– 3, – 3), and a…

A: This question is about application of conic section

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

A:

Q: The equation of the ellipse that has a center at (8, 5), a focus at (5, 5), and a vertex at (13, 5),…

A:

Q: Find the equation of an ellipse with center at (2,-2), vertex at (7,-2) and focus at (4,-2)? O (x +…

A: We have to find the equation of ellipse

Q: The equation of the ellipse that has a center at (7, 3), a focus at (3, 3), and a vertex at (2, 3)…

A:

Q: Use the information provided to write the standard form of the equation of the ellipse. Vertices:…

A:

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

A: The general equation of the ellipse with center at (h, k) and vertices along the vertical line is…

Q: The equation of the ellipse that has a center at (3,5), a focus at (-1,5), and a vertex at (−2,5) is…

A: Given: Equation of ellipse: (x-C)2A2+(y-D)2B2=1 Center: (3, 5) Focus: (-1, 5) Vertex: (-2, 5)

Q: The equation of the ellipse that has a center at (7, 3), a focus at (4, 3), and a vertex at (12, 3),…

A:

Q: 3) Find the equation for the ellipse that has vertex at (9, -1) and foci (0, -1) and (8, -1).

A:

Q: Write an equation of an ellipse with center at (3,2), focus at (5,2), and vertex at (8,2). (x- 3)2 ,…

A:

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.