Given an equation of an ellipse in standard form, how do you determine whether the major axis is horizontal or vertical?

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

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Q: Write the standard form equation of the ellipse. 7. -6

A: Given, The graph of the ellipse with Major axis is parallel to y axis and end points of major axis…

Q: Give the equation for the ellipse graphed

A: Center= (h,k)=(0,0) Length of the major axis=2a= 10 - (-10)=20  So, a=10 Length of the minor…

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: 5. -5 -5

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Q: Find an equation of the ellipse having a major axis of length 6 and foci at (5, –2). and (1, -2).

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Q: Write the standard form equation of each ellipse.

A: Explanation of the answer is as follows

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: 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: Find an equation of the ellipse. Then find its foci.

A: From the graph,  The length of the semi-major axis, b = 3 The length of the semi-minor axis, a = 2…

Q: Write the standard form equation for each ellipse described. Foci (2,0) and (-2,0), major axis…

A: We will use basic given information to find missing variables

Q: the standard form of the equation of the ellipse and give the location of its foci. (1.-2)

A: we have to find the standard equation of given ellipse and the location of foci.

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

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Q: Find an equation of the ellipse having a major axis of length 10 and foci at (-3, 3) and (- 3, – 3).

A: This is a problem of locus and analytical geometry.

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 the equation of the ellipse in standard form centered with foci located at the (4, -5) and (-8,…

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

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Q: Write an equation for the ellipse that satisfies each set of conditions. 16. major axis 16 units…

A: Solution

Q: What are the noteworthy distances of an ellipse?

A: Noteworthy distances of an ellipse

Q: Find an equation for the ellipse that satisfies the given conditions. Endpoints of major axis: (410,…

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Q: what are the turning point? what is the number of turning points in an ellipse?

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Q: An ellipse has equation 25x²+16v² = 400: Determine the coordinates of its foci.

A: Equation of an ellipse is 25x2+16y2=400determine the coordinates of foci

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…

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Q: 26. Explain how the equation of an ellipse is related to the equation of a circle?

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Q: Write the equation of the ellipse that contains the point (square root of 5, 2) has a major axis of…

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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: Write the standard form equation for each ellipse described. Major axis endpoints are (3,-7) and…

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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: (3,-1)

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Q: An ellipse is centered at the origin with a horizontal major axis length of 14 units and a vertical…

A: 2a= 14 a= 7 2b= 8 b= 4

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

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Q: Write the standard form of an equation of the ellipse with center (0,0), eccen- 5 major axis…

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Q: Find the standard form of the equation the ellipse whose major axis is vertical with length 10, with…

A: Since the major axis is vertical so the standard form will be:

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: The line segment perpendicular to the major axis, with endpoints on the ellipse, and passing through…

A: To find the axis where the line segment perpendicular to the major axis, with endpoints on the…

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

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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 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: the equation of the diameter of the ellipse.

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Q: the equation of this ellipse

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

Q: Write the standard form equation of the ellipse. -6 -3

A: The given graph is :-

Q: the equation of an ellipse whose foci a

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Q: Write an equation of an ellipse with a center (3,-3) vertical major axis of length of 12, and minor…

A: Given: Center=(3,-3) vertical major axis of length=12  minor axis of length=6

Q: Write an equation for the ellipse

A: In this question we have to write an equation for the ellipse.

Q: Compare and contrast the general equations of circles and ellipses.

A: The general equation of circle is given by- x-h2+y-k2=r2 where h,k is the center of circle, while r…

Q: The line segment with endpoints at the vertices of an ellipse is called the _____ axis.

A: The line segment with endpoints at the vertices of an ellipse is called the _____ axis.

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.