For an ellipse, the foci lie on a line called the______ . (a) minor axis (b) major axis (c) directrix (d) latus rectum

Q: X y² Find the eccentricity of an ellipse- + a² b² = 1 whose latus rectum

A: Let a>b. Then the latus rectum ofthe ellipse is 2b2/a and the semi-major axis is a.       Given…

Q: 3) Foci: (-4, -8 + 4√2), (-4, −8 - 4√2) Endpoints of major axis: (-4, -2), (-4, -14)

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Q: Pluto travels around the sun in an elliptical path with the sun at one focus. The minor axis of its…

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Q: √33 7) Eccentricity 7 Foci: (8 + 2√√33, 0), (8 - 2√√33, 0)

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Q: 5. Determine the equation of each of the following ellipses. a) 9. b) yA 18. c) Focus Focus x8,…

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Q: 4 SKetch the parabola and label the foces , ventees and dineder 2. 4 -6y -2utl=0

A: To find- Vertex, focus and directrix of a given parabola.

Q: (b) Find the evolute of the ellipse x2 y? =D1

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Q: How are the graphs of these ellipses similar, and how are they different? y? = 1 y? 1 36 144 36 144

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Q: Graph the ellipse with the given equation (x-1)² (y+2)² 9. = 1 4 and identify the 1. direction…

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Q: Given the ellipse 25 y? =D1 16 List the coordinates of the foci.

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Q: Which of the following is the equation of the ellipse with a vertical major axis, center at (1, -3),…

A: Here we have to find the equation of an ellipse.

Q: . Reason Jupiter's gravity changes a spacecraft's path to a hyperbola as it approaches. The focus of…

A: We need to find hyperbola equation.

Q: An ellipse is the set of points such that the sum of distance from two fixed poin constant. The two…

A: Since you have posted multiple questions, we will provide the solution only to the first question as…

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.