Compare and contrast the general equations of circles and ellipses.

Q: How is the equation of a hyperbola different from the equation of an ellipse?

A:

Q: Find the standard form of the equation of the ellipse with the given characteristics. y 10- 8 6…

A:

Q: . How is the equation of a hyperbola different from the equation of an ellipse?

A: How is the equation of a hyperbola different from the equation of an ellipse?

Q: Determine the general form of equation of an ellipse whose standalu (x-2)2 (y+3)2 + = 1. 9 4 1.…

A:

Q: 5. -5 -5

A:

Q: If the foci of an ellipse are(-4,4) and(6,4) , then the coordinates of the center of the ellipse…

A: Given : The statement , If the foci of an ellipse are(-4,4) and(6,4) , then the coordinates of the…

Q: Given an equation of an ellipse in standard form, how do you determine whether the major axis is…

A: Standard form of ellipse:

Q: Write an equation for the ellipse Q

A: solution is given below

Q: Write an equation for the given ellipse that satisfies the following conditions. Center at (5,4);…

A: To find the equation of ellipse

Q: 7. Explain how to identify the major and minor axes of an ellipse are by looking at both the graph…

A: The ellipse is a 2-dimensional shape, which is made according to the property that the sum of…

Q: If the foci of an ellipse are located at (-8, 6) and(10, 12), then the coordinates of the center of…

A: We have foci of an ellipse  (-8, 6) and (10, 12)   The center is located at (h, k) We know that…

Q: What is the standard form of equation of an ellipse?

A: Statndard form of equation of an ellipse written below In both case horizetal major axis and…

Q: Write this equation for an ellipse 12y? – 24a? 144 in standard %3D form. Show your work.

A: The given equation of the ellipse is 12y2-24x2=144 To find: standard equation of the ellipse

Q: Find an equation in standard form for the ellipse graphed below.

A: the standard equation of the ellipse is given by as we can see here center of the ellipse is

Q: 2. Explain how to identify the major and minor axes of an ellipse are by looking at both the graph…

A:

Q: State the equation of an ellipsoid?

A: An ellipsoid is symmetrical about three mutually perpendicular axes that intersect at the center.

Q: State whether the given equation defines an ellipsoid or hyperboloid, and if a hyperboloid, whether…

A: Given, To determine whether the given equation defines an ellipsoid or hyperboloid, and if a…

Q: 27x2 + 9y2 - 81 = 0 %3D

A:

Q: What is the equation of this ellipse?

A: equation of ellipse with centre as origin and a and b are semi major and minor axis. here a = 1 b =…

Q: What are the general equations of an ellipse?

A: To write the general equation of an ellipse.

Q: Find an equation of the ellipse that satisfies the given conditions. Foci (0, ±3), passing through…

A: Use equation of ellipse

Q: What are the noteworthy distances of an ellipse?

A: Noteworthy distances of an ellipse

Q: Write the equation of the ellipse that has a center at ( - 3, – 5), a focus at ( - 9, – 5), and a…

A:

Q: What is the equation of the given ellipse? YA

A: Vertex ( -3 , 2 ) covertex ( -1 , -1.5 )   Center= ( h , k )= ( -3 , - 1.5 )   Major axis b = 2 - (…

Q: Explain with the help of an example Parametrization of an Ellipse.

A: We have write the parametrization of an ellipse.

Q: What is the center, the major axis length, the minor axis length and the equation of the ellipse…

A:

Q: Write the equation of the ellipse that has its center at the origin with focus at (0,4) and vertex…

A: The ellipse has its center at the origin with focus at (0,4) and vertex at (0,7)

Q: Find the standard form of the equation of the ellipse with the given characteristics. Center (3,-5)…

A: Center of the ellipse is h, k=3, -5, a=3c and foci are 3, -6 & 3, -4. Now c is the distance…

Q: Translated to the right 6 units

A:

Q: The equation for the ellipse graphed above is

A: From the given figure ellipse is centered at origin semi major axis a = 7 semi minor axis b = 3

Q: Obtain the Cartesian equation of the ellipse using its definition.

A: Let us take the following ellipse into consideration with center at the origin (0,0) and foci as…

Q: write the standard form of an equation of an ellipse with center (h, k) and major axis horizontal.

A: Given that an ellipse is centered at (h, k) and major axis is horizontalThat is, the given ellipse…

Q: 11. Explain how to identify the major and minor axes of an ellipse are by looking at both the graph…

A:

Q: Find the equation of the ellipse shown.

A:

Q: Hi I am in need of assistance as to how to solve this practice problem.

A:

Q: Use the definition of the ellipse to obtain the Cartesian equation.

A:

Q: Write the equation of the ellipse that has a center at (– 5, – 3), a focus at (– 3, – 3), and a…

A: This question is about application of conic section

Q: Find an equation of the ellipse having a major axis of length 10 and foci at (6, -4) and (2, -4).

A:

Q: 1. Olympic Stadium in Montreal, Canada was constructed in the shape of an ellipse with major and…

A: Major axis = 480 mMinor axis = 280 m

Q: What features are unique to an ellipse?

A:

Q: What is the general form of equation of an ellipse if its center is at (3,-1), a = 4, b = 3 and its…

A: The general form is,                            (x-c)2/a2 + (y-d)2/b2  =1. Where (c,d) is centre of…

Q: 1 -1 (5, –4) (3, –5) (7, –5) (5, –6)

A:

Q: the equation of the diameter of the ellipse.

A:

Q: the equation of this ellipse

A: Here we have to find the equation of the ellipse,  we have;

Q: Find an equation of the ellipse that has center (0, 3),

A:

Q: 1. Explain how to identify the major and minor axes of an ellipse are by looking at both the graph…

A: Explained below.

Q: Write an equation for the given ellipse that satisfies the following condition Center at (1,4);…

A:

Q: Write the standard form of an equation of an ellipse with center (h, k )and major axis vertical.

A: The standard form of the equation of an ellipse with centre ( h, k) and major axis parallel to the…

Q: Write an equation for the ellipse. foci at (-3, -1), (-3, -7); major axis length of 10 (+ 42 (x -…

A:

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.