Given the ellipse y? 1 %3D 64 36 what is the direction of the minor axis and what is its length? Select the correct answer below: O The minor axis is along the a-axis and has length 12 The minor axis is along the x-axis and has length 16. O The minor axis is along the y-axis and has length 12. O The minor axis is along the y-axis and has length 16

Q: Find the coordinates of the foci for the following hyperbola. (x – 1)? (y + 1)? 1 64 16

A: I am going to solve the given problem by comparing it with the standard form of hyperbola whose…

Q: Find the equation of an ellipse with the given conditions. Centered at the origin The length of the…

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Q: What is the standard form equation of the ellipse that has vertices (0, ±5) and foci (0, ±4)? Select…

A: Vertices(0,5),(0,-5) Foci(0,4),(0,-4) We have to find equation of ellipse

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 below, determine the direction of the major axis and its length. y? 1 100 4…

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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.