Draw the ellipse 5(? − 1) 2 + 4(? − 1) 2 = 25, labeling all important information.

Q: In  the equation as follows , find the standard form of the equation of the ellipse with the given…

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Q: The vertices of the ellipse given by + =1 are 4

A: Given,           The equation of an ellipse is x24+y21=1To find: Vertices of the ellipse

Q: Find an equation of the ellipse having a major axis of length 8 and foci at (1, 5) and (-3, 5). O=0

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

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Q: Draw the ellipse 5(x − 1) 2 + 4(y − 1) 2 = 25, labeling all important information.

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Q: Find an equation of the ellipse that has center (-5, -4), a minor axis of length 8, and a vertex at…

A: Major axis can be found by using distance formula between center and vertex.

Q: Find the equation to the ellipse whose centre is at the origin and the axes are the axes of…

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Q: 1. 49x2 + 25y? + 98x + 50y - 1131 = 0.

A: We will find all the above as shown below

Q: Write an equation for the ellipse that satisfies each set of conditions. 15. vertices at (2, –5) and…

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Q: 3- Sketch the ellipse given that vertices at (8, 0), (-8, 0) and minor axis = 6.

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

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Q: Use the given information to find the equation for the ellipse. Center at (5, -5), vertex at (10,…

A: Find the equation of the ellipse.

Q: Find an equation of the ellipse with center at (0, 0); vertex at (0, 4); focus at (0, -2).

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Q: Find an equation of the ellipse having a major axis of length 10 and foci at (2, -2) and (2, –8).…

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Q: Give the equation in standard form of the ellipse centered at the origin with a focus at (0, 2), and…

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Q: What is the equation of the standard ellipse with vertices at (±a, 0) and foci at (±c, 0)?

A: To find the equation of the standard ellipse with vertices ±a,0foci ±c,0

Q: Find the standard form of the equation of an ellipse with vertices at (0, -6) and (0, 6), passing…

A: To find the standard equation of ellipse.

Q: Give the equation in standard form of the ellipse centered at the origin with a focus at (0, 2), and…

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Q: Find an equation for the ellipse that satisfies the given conditions. Foci: F(0, +-square root…

A: Foci:  F(0, ±10), vertices (0, ±7)We know that equaton of ellipse is x2a2+y2b2=1  (a<b)Here focus…

Q: Find the general equation of the ellipse given: covertices at (-1,2) and (-1,-4), focus at (1,-1)

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Q: Find an equation of the ellipse having a major axis of length 10 and foci at (5,-1) and (-1, -1).…

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Q: Find the DE of an ellipse with the equation: +2²=1

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Q: Find the equation of the ellipse in standard form centered at (-2, 7) with a vertical major axis of…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find an equation of the ellipse having a major axis of length 10 and foci at (6, 5) and (-2, 5).

A: Equation of the ellipse: (x−2)^2 / 25 +(y−5)^2 / 9=1

Q: Find an equation of the ellipse that has center (1, -3), a minor axis of length 2, and a vertex at…

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Q: Find the standard equation of the ellipse whose foci are F1 (0,8) and F2 (0,-8) such that for any…

A: Given, The foci of the ellipse  F1 (0,8) and F2 (0,-8) Sum of distance of any point from the foci =…

Q: Find the axes of this tilted ellipse 5x2 + 8xy + 5y? = 1, and sketch the graph of both ellipses.

A: Consider the general equation for the ellipse and compare the given equation to the general equation…

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

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Q: Find an equation of the ellipse that has center (-3, 2), a minor axis of length 6, and a vertex at…

A: eq. of ellipsex-h2b2+y-k2a2=1,  where h,k is center of ellipse.

Q: Find an equation of the ellipse having a major axis of length 12 and foci at (2, 3) and (-6, 3).

A: Let us find the equation of ellipse when major axis & foci are given.

Q: Give the equation in standard form of the ellipse centered at the origin with a focus at (2, 0), and…

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

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Q: Find the equation of the ellipse with the given properties: Vertices at (+9, 0) and (0, ±25) 1

A: Solution:-

Q: Find the equation of an ellipse whose foci belong to the x-axis and passes through the points (4,3)…

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

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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 the equation of the ellipse with the given properties: Vertices at (+25,0) and (0, 164)

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Q: Find an equation for the ellipse with foci (±7,0), and major axis of length 18.

A: topic - equation of ellipse

Q: Find the equation of the given ellipse. Foci at (+16, 0) and endpoints of the major axis at (+34,…

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Q: Find an equation of the ellipse that has center (0,-2), a minor axis of length 8, and a vertex at…

A: We have to find the equation of the ellipse.

Q: Find an equation of the ellipse that has center (-5, -4), a minor axis of length 6, and a vertex at…

A: We have to find equation of ellipse that has centre -5,-4,  a minor axis of length 6, and a vertex…

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

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Q: Find an equation of the ellipse that has center (5,-1), a minor axis of length 4, and a vertex at…

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Q: Find an equation of the ellipse that has center (0, -3), a minor axis of length 12, and a vertex at…

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Q: Find an equation of the ellipse that has center (2, -4), a minor axis of length 2, and a vertex at…

A: Trace the equation

Q: () and (.0) and 13. Vertices at one

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Q: Express the equation of an ellipse 5x' +4y-40x+8y+64 =0 in standard form. Hence, sketch the ellipse.

A: NOTE: Hi! Thank you for your question. As per the honor ode, we'll answer one question in case of…

Q: Give the equation in standard form of the ellipse centered at the origin with a focus at (4, 0), and…

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Q: Find an equation of the ellipse that has center (-1, -2), a minor axis of length 8, and a vertex at…

A: Given that: Centre of ellipse, (h, k)=(-1, -2)Minor axis length, 2b=8Vertex= (-6, -2)

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.