Find the equation of an ellipse centered at the origin with major axis of length 10 lying along the x-axis and minor axis of length 6 along the y-axis.

Q: A line segment of length a + b runs from the x-axis to the y-axis. The point P on the segment lies a…

A: Given A line segment of length a + b runs from the x-axis to the y-axis. The point P on the segment…

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,…

Q: Sketch the Ellipse with the equation x^2/81 + y^2/16 = 1

A:

Q: Find the equation on the ellipse that has its center at the origin and satisfies the conditions:…

A: We have to find the equation on the ellipse that has its center at the origin and satisfies the…

Q: X y² Find the eccentricity of an ellipse- half of its maior axis + I a² b² = 1 whose latus rectum is

A: Given: Here is the given ellipse, x2a2+y2b2=1 Latus rectum=12× major axis. To find: The…

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

A:

Q: Find the center, length of major and minor axis for ellipse 4x +9y + 24x = 0 Hence, sketch the…

A: Solutions

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

A:

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

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.