An ellipse with center at the origin has a length of major axis 20 units. If the distance from the center of ellipse to its focus is 5, what is the equation of its directriv?

Q: Find the standard equation of an ellipse centered at the origin whose major axis is horizontal and…

A: Origin is centre (h,k) = (0,0) Major axis is horizontal axis. length of major axis = a = 10 length…

Q: Find an equation of the ellipse that has center (-3, 4), a minor axis of length 4, and a vertex at

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Q: Find an equation for the ellipse that satisfies the given conditions. Length of major axis: 10,…

A: NOTE: Refresh your page if you can't see any equations. . here foci n y-axis, which means the…

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

A: If (x, y) is a point on the ellipse, then by the definition of an ellipse, d1+d2 is constant for any…

Q: What is the standard equation of an ellipse with major axis of length 22, foci 9 units above and…

A: Since the major axis is of length 22   2a=22⇒a=11 The foci are 9 units above and bellow the center.…

Q: Find the standard form of the equation of the ellipse satisfying the given conditions. Major axis…

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

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Q: Find an equation for the ellipse that satisfies the given conditions. Eccentricity: √3/2, foci on…

A: The Eccentricity of ellipse e=32 foci is on y-axis and major axis 2b=4 ⇒b=42=2

Q: Find the standard equation of the ellipse with center (5, 3), horizontal major axis of length 20,…

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Q: Find lengths of minor and major axis for ellipse that has equation 16x2 + 4y2 = 16

A: Given, 16x2 + 4y2 = 16

Q: An ellipse has semi-major axis of 4 and its semi-minor axis is 3. The distance from the center of…

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Q: The distance between foci of an ellipse is 6 and its major axis is 10, find the length of the latus…

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Q: An ellipse has a semi-major axis of 5cm and an eccentricty of 0.4. What is the maximum length of the…

A: Maximum length of ellipse = length of major axis = 2×(length of semi major axis)

Q: Find the standard form of the equation of the ellipse satisfying the given conditions, Major axis…

A: Given  Major axis horizontal with length 12 length of minor axis = 4 center: (-3, 5). General…

Q: Find an equation for the ellipse with center (2, 0), foci (2, ±3) and major axis of length 8.

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Q: What is the minor radius of this ellipse?

A: Query- What is the minor radius of this ellipse. Answer- An ellipse is a plane curve surrounding two…

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

A: Given:- Center: (3,-4); vertex(3, -5/2) minor axis of length 2 To find:- standard equation of…

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

A: standard form of ellipse is(x-h)2b2+(y-k)2a2=1where(h,k)≡(-2,3)b=4 and a=10therefore equation of…

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

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Q: Find the standard form of the equation of the ellipse satisfying the given conditions. -Major axis…

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Q: If the major axis of an ellipse is 26 units in length and the minor axis is 10 units in length,…

A: Major axis of ellipse is a = 26 and minor axis is, b=10Therefore, the eccentricity of ellipse is…

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

A: Foci (±3,0) and minor axis of length 2

Q: The line through the foci intersects an ellipse at two points called _____.

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Q: Find the equation of an ellipse centered at the origin with major axis of length 10 lying along the…

A: The standard form of an ellipse centered at origin helps to find the required equation of the…

Q: Find the center, length of major and minor axis for ellipse 4x +9y + 24x = 0 Hence, sketch the…

A: Solutions

Q: The standard equation of the ellipse is x233+y249=1 because it says incorrect on my end. Can you…

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Q: 4. Find the equation of the ellipse assuming the form + = 1 if distance between foci 4, between…

A: Use simple standard equation

Q: What are the lengths of the major and minor axes of this ellipse x^2/6+y^2/12=1?

A: Given: The equation of ellipse is x26+y212=1. To find: The lengths of the Major axis and Minor axis.…

Q: a building facade is in the shape of a semi ellipse, with the major axis as the span. if the span is…

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Q: Find an equation for the ellipse that satisfies the given conditions. Length of major axis: 6,…

A: Since foci is on y axis therefore it is a vertical ellipse.

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 for the ellipse that satisfies the following conditions. Center:0,0, Major axis…

A: Given  center (h,k)=(0,0) Major axis a=6 Minor axis b=4 Foci on X axis  therefore equation of…

Q: Which of the following is the equation of a vertical ellipse with center (4,6) Major axis s = 18 and…

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

A: Length of major axis of an ellipse is 2a

Q: One of St. Matthew's Hall is 10 feet wide and has a semi-ellipse ceiling. The ceiling is 6 feet high…

A: Given: Hall is 10 feet wide and has a semi-ellipse ceiling. The ceiling is 6 feet high at the sides…

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

A: The standard equation of ellipse with center at origin is x2a2+y2b2=1, where a is the length of semi…

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: Find an equation for the ellipse that satisfies the given conditions. Length of major axis: 8,…

A: Given, Length of major axis = 8 Length of minor axis = 4 Center = (0, 0) Foci = y - axis

Q: Find an equation of the ellipse having a major axis of length 10 and foci at (-2, 6) and (-2, 0).

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Q: Find the equation of the ellipse in standard form and general form with center (0,0) and major axis…

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Q: find the standard equation of an ellipse centered at the origin whose major axis is horizontal and…

A: We know that standard equation of an ellipse centered at the (h,k) whose major axis is horizontal…

Q: In an ellipse, what are the two equal lengths that allow you to figure out the location of the foci?

A: In an ellipse, the foci can be find out with the lengths of the major and minor axes to find focu…

Q: 7. If the latus rectum of an ellipse with axis along x-axis and centre at origin is 10, distance…

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

A: Given: Foci of an ellipse: (±5, 0) Major axis of length 18. Center of an ellipse is at origin.

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

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Q: What is the standard equation of an ellipse with center( major axis of length 20 and minor axis of…

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

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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.