y 10- 8 (6,6) 6 4 (5,3) (7,3) 2 (6,0) X 4 6. 8 10 2.

Q: Find the length of the directrix of an ellipse x2/16 + y2/9 = 1

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

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Q: Find the equation of the ellipse with the following properties. The ellipse with x-intercepts at (4,…

A:

Q: what is the length of the minor axis of the ellipse given by the equation x^2/169 + y^2/64 = 1 1.…

A:

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

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Q: The center of the ellipse with the given equation 4(x – 5)2 + 3(y – 4)2 = 48 is

A:

Q: Find the standard form of the equation of the ellipse with the given characteristics. y (4, 0) X -1…

A:

Q: What are the coordinates of the foci of an ellipse whose equation in standard form 112 x+ is given…

A: We have to find the focci of an ellipse

Q: Write an equation for the ellipse. Ay 2,3) X ..... Type the left side of the equation in the box…

A:

Q: Find the standard form of the equation of the ellipse with the given characteristics and center at…

A:

Q: Write the equation of the ellipse that has a center at (6, – 4), a vertex at (12, (6, 1) - 4), and a…

A: on solving this we get

Q: Find the standard form of the ellipse given below in general form. x2 – 2x + 4y2 + 24y + 33 = 0

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Q: Find an equation for the ellipse shown in the figure. y V (-8, 1) М-3, 4) 5 V(2, 1) - 10 -5 M(-3,…

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Q: What is the center of the ellipse? (r-2) 49 6+1) = 1 25 o (-2,-1) o (-2, 1) o (2,-1) o (2, 1)

A: As we know that the standard equation of the ellipse is: x-h2a2+y-k2b2=1 Where: center is at h,ka,b…

Q: Find an equation of the ellipse with vertices (+4, 0) and foci (±20). y2 A - - 16 12 x2 y2 12 16

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

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Q: Find the center and foci of the ellipse. (x+5) (y+9)² = 1 %3D

A: The given ellipse equation,(x+5)25+(y+9)29=1

Q: Find the standard equation of an ellipse and sketch ( x-3)²/4 + (y+1)²/9=1

A: Standard form of an ellipse with center (h, k) and major axis is parallel to y axis :…

Q: Find the standard equation of an ellipse if the foci are (-7, 6) and (-1, 6), the sum of the…

A: Here we have to find the standard equation of an ellipse if the foci are -7,6 and -1,6, the sum of…

Q: An equation of an ellipse is given. x2 (y + 10)2 = 1 36 100 (a) Find the center, vertices, and…

A: Since you have asked multiple question, we will solve the first 3 question for you. If youwant any…

Q: Find the standard form of the equation of the ellipse with the given characteristics.

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Q: Find the foci and vertices of the ellipse. x^2/36+y^2/9=1

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Q: What are the foci of the ellipse? (z-2 + G (G) 25 3D1 49

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Q: Draw the ellipse with the equation: 2x2 + y2 + 4x − 9y = 7

A: Given, The equation of the ellipse :  2x2 + y2 + 4x − 9y - 7 = 0…

Q: What is the equation of the given ellipse? Y (-3, 2) (-1,-1.5) X

A: Graph of the ellipse is given, we have to find its equation.

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

A: We will find the standard form of the equation of the ellipse in the following step

Q: Sketch and determine the center, foci and vertices of the ellipse with an equation of x? (y-4)? = 1.…

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Q: Find an equation of the ellipse with vertices (+4, 0) and foci (+2,0). y2 A) 16 12 y2 B 12 16 D %3D

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

A:

Q: Find the standard form of the equation of the ellipse with the given characteristics. (x – 6)² , (v…

A: Center of the ellipse is the midpoint of (6,0) and (6,8) That is: Length of the major axis =…

Q: Find the coordinates of the foci for the following ellipse (Y+8)²/81 +(x-1)²/49

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Q: (x – 2)2 (y – 4)² 1 9. 25 defines an ellipse with center ( ). The major axis has length and the…

A: The standard form of the equation of an ellipse having vertical major axis is

Q: Find the standard form of the equation of the ellipse with the following characteristics foci (4,0)…

A: Given  foci (4,0) (-4,0) and vertices (6,0)(-6,0) We know that standard form of ellipse X^2/a^2…

Q: Look for the the equation of the ellipse if the directrix is y + 22/3=0, the center at (4,1), and…

A: Given: Directrix: y=-223Center: 4,1=h,kFocus: 4,-2 The distance between center and focus gives the…

Q: Find the equation of the ellipse with the following properties. The ellipse with foci at (4, 0) and…

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Q: Illustrate the coordinates of an ellipse  passing through (h,k) show your complete solution  (…

A: Given information: The equation of the ellipse is (x-3)24+(y+1)29=1. Concept Used: The general…

Q: Express the equation of the ellipse given in standard form. Identify the center, vertices,…

A:

Q: Find the standard form of the equation of the ellipse satisfying the following conditions. Vertices…

A: Major axis is parallel to y axis. So the standard form will look like:

Q: Find the standard form of the equation of ellipse satisfying the given conditions as Foci: (-2, 0),…

A: Given that the coordinates of foci of ellipse are (-2,0), (2,0)  and coordinates of vertices are…

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

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Q: What is the equation of the ellipse shown in the graph? y 67 4- 2- +►X -10 8 -6 -4 -2 0 -2- 8 10 2 4…

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Q: Find the equation of an ellipse with center at (2,-2), vertex at (7,-2) and focus at (4,-2)? O (x +…

A: We have to find the equation of ellipse

Q: Find an equation of the ellipse with vertices (±4, 0) and foci (+2,0). (A 16 y2 = 1 12 B = 1 16 y2 =…

A: Topic:- ellipse equation

Q: 4. Write the standard form of the equation of the ellipse given below by completing the square. 9x?…

A: The equation of an ellipse is given by 9x2+4y2+36x-8y+4 = 0

Q: 2. What is the standard form equation of the ellipse with vertices at (0, 6) and (0, -6) and co-…

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Q: 3. Determine whether an ellipse exists if it has an equation of 4x2 +9y2-24x + 36y - 36 = 0. %3D

A: Here we have to show the given expression is ellipse or not Where the expression is as…

Q: Find the foci of the ellipse (x+1)² (y+5) ² 28 23 + =1

A: We can find the foci in the below steps.

Q: Write an equation of an ellipse with center at (3,2), focus at (5,2), and vertex at (8,2). (x- 3)2 ,…

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Q: Draw the ellipse with the equation: 2x2 + y2 + 4x − 9y = 7.

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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.