A- write the standard form of ellips ( 25x + 9y' + 100x + 18y = 116 ) and find the center. vertices and foci.

Q: 4. Determine the equation of an ellipse having foci (0,+V5) and vertices (0, +4).

A: topic - equation of ellipse

Q: Write the equation for the hyperbola with foci (-12, 6), (6, 6) and vertices (–10, 6), (4, 6). =1…

A: The hyperbola with foci (-12,6), (6,6) and vertices (-10,6), (4,6)

Q: Write the equation for the hyperbola with foci (–12, 6), (6, 6) and vertices (-10, 6), (4, 6). =1…

A:

Q: Find the standard form of the equation of the ellipse with the given characteristics. Center: (1,…

A: This question can be solved using the concept of standard form of  equation of ellipse.

Q: Find the standard form of the equation of an ellipse with the given characteristics. Foci (0,-1) and…

A:

Q: Find the coordinates of the foci of an ellipse with center at (-1,2), one co-vertex at (2,2), and…

A: Given problem:- Find the coordinates of the foci of an ellipse with center at (-1,2), one co-vertex…

Q: Identify the center, the vertices, and the foci of the ellipse. 4x²+y²–16x – 6y +21=0 口 | Center :…

A: Given ellipse equation is 4x2+y2-16x-6y+21=0We can now get it to the standard form i.e.…

Q: 3) FIND THE EQUATION OF THE ELLIPSE WITH A CENTER AT (2, 2), VERTICES AT (-3, 2) AND (7, 2), AND…

A: first we find ellipse equation .

Q: 6. Find the Equation of the Ellipse whose Vertices and Foci are at (0, ±17) and (0, ±9)…

A:

Q: Write the equation of the ellipse that is centered at (3, 3) and contains the following points:…

A:

Q: e BOTH the standard and general form of the equation of the specified ellipse. Vertices at (8, -1)…

A: Definition used -                  The standard form of the equation of ellipse -…

Q: 2. What are the vertices of this ellipse? -2

A:

Q: Graph the ellipse and identify the vertices and the foci. 9x2+y2=18 Vertices : (0,3/2 ), (0 , -3v2…

A:

Q: Identify the center, the vertices, and the foci of the ellipse. 4x2+3y2+16x-24y +40=0 Center : (…

A:

Q: Write the standard form equation of the ellipse. Foci (-3, 0) and (3,0) vertices (-5,0) and (5,0)

A:

Q: 7. FIND THE EQUATION FOR EACH CONIC: ELLIPSE, = (0,-4) VERTEX = (8,-4

A:

Q: Find an equation of the ellipse with foci (0,2) and (0,-2) and vertices (0,5) and (0,-5)

A:

Q: Find an eguation of the ellipse with Focilo,a) and (0,-2) and verticesco,3) and C6,-3).

A:

Q: 2. Find the general ellipse equation when its vertices (+5,0), foci (±4,0).

A:

Q: Determine the standard equation of ellipse and find its center,foci,covertices and vertices and…

A: The standard equation of the ellipse is: x-h2a2+y-k2b2=1 Where; center: h,k Where, a,b is the…

Q: Identify the center, the vertices, and the foci of the ellipse. (x+2)? -6)2 =D1 25 36 Center : (-2,6…

A:

Q: Find the standard form of the equation of an ellipse with the given characteristics. Foci (0,-3) and…

A:

Q: Identify the center, the vertices, and the foci of the ellipse. x²+3y2-6x+6y +6=0 -1); -1),(3-…

A:

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

A: Given: foci of an ellipse are ( - 4, 4) and (6, 4)

Q: Write the standard form equation of the ellipse. Foci (-1, 3) and (7, 3); Vertices (-2, 3) and (8,…

A:

Q: The ellipse with x-intercepts at (7, 0) and (-7, 0), y-intercepts at (0, 5) and (0, -5), and center…

A: Rhis problem is related to conic section and we solve this problem using standard form of the…

Q: Determine the equation of the ellipse with foci (-8, 14) and (-8, -16), and co- vertices (0, -1) and…

A:

Q: find an equation for the hyperbola with center C (0,0), vertices V (+-4,0), and foci F (+-6,0)

A:

Q: Find the coordinates of the foci of an ellipse with center at (-1,2), one co-vertex at (2,2), and…

A:

Q: The foci of a hyperbola are (-4, 5)and (2, 5). What is the x- coordinate of the center of the…

A: Given:  Foci of a hyperbola   are -4,5   and 2,5To find:-   X‐coordinate  of the center of hyperbola…

Q: Identify the center, the vertices, and the foci of the ellipse. x²+3y2-6x +6y +6=0 Center : (3 -1);…

A:

Q: A- write the standard form of ellips ( 25x+ 9y+ 100x + 18y= 116 ) and find the center, vertices and…

A: For standard equation we apply completing square method to given equation

Q: Write an equation for the hyperbola that has vertices (±2,0) and foci (±v 53,0).

A:

Q: Find the equation for the ellipse that has its center at the origin and satisfies the given…

A:

Q: What is the equation of the ellipse with center at (0, 0) and vertices at paints (2, 0). (0, 3), and…

A:

Q: Find the center, vertices, and foci of the ellipse 4x² + y²-8x+4y-8=0.

A:

Q: 4) Find the equation for the ellipse that has vertices at (-3, 1) and (-2, 4) and center at (-2, 1).

A:

Q: Find the equation of the ellipse with foci (0, -1) and (8, -1) and vertex (9, -1).

A: Center is the middle point of the foci a= distance of vertex from the center= distance between…

Q: Find the equation of the ellipse with vertices at (−10, −4) and (6, −4), and covertices at (−2, −9)…

A:

Q: If the foci of an ellipse are (-4,3) and (8,3), then what are the coordinates of the center of the…

A:

Q: Use the information provided to write the standard form equation of each ellipse. 1) Vertices: (6,…

A: Note: There are multiple sub questions. No specific question has been asked. So, We will solve the…

Q: Find an equation for the conic that satisfies the given conditions. ellipse, center (-3, 3), vertex…

A:

Q: Use this information provided to write the equation of the hyperbola Vertices: (0, 1), (-10, 1)…

A: We have to find the equation of the hyperbola whose Vertices: (0, 1), (-10, 1) and Foci: (8, 1),…

Q: Find the standard form of the equation of the ellipse with: Foci: (-4,0),(4,0) and Vertices: (-5,0),…

A: Given,

Q: b.Write an equation of an ellipse with its center at (-2,1), one vertex at (1,1), and one co-vertex…

A:

Q: Write the standard equation of an ellipse with center at (-2, 3), vertex at (-2,7) and a co-vertex…

A: Given data is: center -2,3, vertex -2,7, and co-vertex 1,3

Q: Identify the center, the vertices, and the foci of the ellipse. (x+2)? = 1 25 36 Center : (-2,6 );…

A: It compare by general equation of ellipse, then find circle, vertices and foci.

Q: Find an equation of an ellipse satisfying the given conditions.   ​Vertices: ​(8​,0) and (−8​,0)…

A: Given that the vertices = ​(8​,0) and (−8​,0) So the center will be the midpoint of ​(8​,0) and…

Q: Find an equation for the ellipse with foci (±2, 0) and vertices (+3, 0).

A: Given,          An equation for the ellipse with foci ±2,0 and vertices ±3,0.

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.