A line segment of length a + b runs from the x-axis to the y-axis. The point P on the segment lies a units from one end and b units from the other end. Show that P traces an ellipse as the ends of the segment slide along the axes.

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Q: Write the equation for the ellipse with major axis of length 34 and foci located at (0,8) and (0,…

A: To write the equation for the ellipse when major axis of length 34 and foci located at  0, 8 and 0,…

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Q: Find all zeros of the ploynomial (real and complex) and factor the polynomial completely…

A: To obtain the roots of the function use the synthetic division as, -31    7    18    18   -3 -12  -8…

Q: 3. 2 -2 Identify a and b for the ellipse with equation - 1. 62 a = %3D

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Q: find the equation of the ellipse with center (5,2), and focus (1,2) and vertex at (0,2). please show…

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Q: Find the equation of an ellipse centered at the origin with major axis of length 10 lying along the…

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A: Solutions

Q: Describe vectors in the xyz-coordinate system

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Q: Find an equation of the ellipse that has center (1, – 2), a minor axis of length 6, and a vertex at…

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Q: Construct an ellipse having length of major axes and minor axes equal to 12 cm and 9 cm…

A: Given: major axes=2a=12  cmminor axes=2b=9  cm

Q: Draw an ellipse having major and minor axis length as 90mm and 60mm

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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.