Graph and determine the coordinates of the foci, the vertices, the straight side and the eccentricity of the following ellipse x? + 2y2 - 2x + 8y + 5 = 0

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: 2. Put this ellipse in standard form: 4x2 + 6y2 = 48

A: Consider the provided equation, 4x2+6y2=48 The equation write in the standard form. The standard…

Q: In AHIJ, ZI ZH, HI = 14 and JH = 15. Find the length ofIJ. %3D

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Q: Find the coordinates of the foci for the following ellipse (Y+8)²/81 +(x-1)²/49

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Q: 10) Eccentricity = V119 12 Center: (6,9) Focus: (6-√119,9)

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Q: Find an equation for the ellipse that satisfies the given conditions. Foci: (0, +5), Vvertices: (0,…

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Q: 11. 11 64°

A: The solution is given below.

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.