An ellipse has which of the following?   I. Exactly 2 foci II. Exactly 1 focus III. A major axis IV. A minor axis V. 2 Vertices VI. A directrix       Group of answer choices I, III, & V only II & VI only I, III, IV, & V I, IV, & V only II, III, & VI

Q: Match the epicycloid or hypocycloid with its graph.

A: The definition of Hypocycloid: Hypocycloid is the curve generated by a point “P “   On the…

Q: Given 4 points on a vertical ellipse (-1.366, 0), (0, 2.241), (1, -12), and (4, 2.43).  Select the…

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Q: (x - 3), (y+ 4)² Consider the ellipse 1 %3D 25

A: the general equation of the ellipse is  x-h2a2+y-k2b2=1 , a>b  then centre (h,k)  vertices (±a,0)…

Q: SRETCHPAD On your own paper, write the equation -16y- 2r -64y-79 in standard form. Then, complete…

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Q: Q1. Video: Graph of an ellipse (https://youtu.be/pAbJUwbTrZ8?t=1074) x² y2 Graph the ellipse with…

A: Given: To graph the ellipse x216+y249=1 and identify the vertices.

Q: Write the set using roster notation. Do not include repeats. Use the ellipsis button, if necessary.…

A: Given problem:- Y is the set of natural numbers between 50 and 600.

Q: x2 + = 1 36 49 y?

A: Given the equation of ellipsex236+y249=1

Q: Parabola.  The vertex is ( 4 , 7 ) and the equation for the directrix is y = 12.

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Q: 25 1 21

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Q: Graph the equation. Identify the vertices, co-vertices, and foci of the ellipse. List your vertices,…

A: Given equation of ellipse is 9x2+4y2=36⇒x24+y29=1 comparing this equation with x2a2+y2b2=1, we get…

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.