9x2 + 4y2 + 36x – 24y – 36 = 0

Q: Find the vertices and foci of the ellipse. Determine the lengths of the major and minor axes, the…

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Q: 9) For the equation of ellipse below, find center and vertices. * 4y2 + 3(x – 1)² = 24

A: Consider the given equation of the ellipse. 4y2+3x-12=24 Divide by 24 on both the sides of the…

Q: give the coordinates of the center, vertices, covertices, and foci of the ellipse. sketch the graph…

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Q: Find the standard form of the equation of the ellipse and give the location of its foci.

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Q: Find an equation for the ellipse that satisfies the given conditions. Foci: F(0, ±/10), vertices:…

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

A: Given that vertices of ellipse V=±8,0  and focii=±5,0We know that if ±a,0 be vertices of ellipse and…

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A: The center of the ellipse is 0,0. The vertices of the ellipse are  0,7 and 0,-7. The focus of the…

Q: Convert the equation 36x2 + 9y2 - 216x = 0 to standard form by completing the square on x and y.…

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Q: 5. Find the vertices and foci of the ellipse given by the equation. 4x +9y² - 32x–36y+64=0

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Q: the equation of the ellipse, Satisfying ndtions. Sketch the graph (oʻ8 =) 8,0 ±3,0

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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: Convert the equation 4x2 + 9y2 - 32x + 36y + 64 = 0 to standard form by completing the square on x…

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

A: This is a problem related to conics section. Based on the general formula and concepts we will find…

Q: The equation of the ellipse that has a center at (9, 1), a focus at (5, 1), and a vertex at (4, 1),…

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

A: We have to find equation in standard form of the ellipse.

Q: The equation of the ellipse that has a center at (8, 2), a focus at (12, 2), and a vertex at (3, 2),…

A: Given :  An ellipse has a center at (8,2) a focus at (12,2) and a vertex at (3,2).

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Q: Find the standard form of the equation of the ellipse and give the location of its foci. Ay 6- 4- 12…

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Q: What is the standard form equation of the ellipse that has vertices (±6, 0) and co-vertices (0, ±5)?…

A: We have to find the equation of the ellipse with given vertices and co-vertices.

Q: Find the center, the foci, the vertices, and the eccentricity of the ellipse with general equation:…

A: The general equation of an ellipse centered at (h,k), and with major and minor axis of length 2a and…

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Q: The following equation is already given in the standard form: (x-4)² (y + 3)² + 1 25 49 Sketch a…

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Q: Find the equation of the ellipse in general form given the conditions: The foci is 3 units to the…

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A: Given center (8,3) which is (h,k)Distance between center and vertex gives aWe know that distance…

Q: 1. Given the equation of the ellipse, list the coordinates of the center, vertices, co-vertices and…

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A: Given the equation of conics, 4x2-y2+8x+2y+7=0

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Q: Find the center, foci, vertices, endpoints, and eccentricity for the following ellipse.…

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A: Given,            Center is at origin, one focus at 0,-8 and a vertex at 0,6.To find : Equation of…

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A: 1) Given:            x-7264+y+2225=1           x-7282+y+2252=1 This is in the form of Ellipse…

Q: 4. Find the equation of ellipse having its center at the origin, focus at (0, 3) and a vertex at…

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Q: 30. x2 + 10y 6x + 20y + 18 0

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Q: For Exercise, find the standard form of the equation of the ellipse or hyperbola shown. 41 S 10

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Q: In the shown ellipse, the distance from the center to any of the two foci is Select one: O a. 4/3 O…

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Q: Given this equation for an ellipse, 9x + 4y? 36x + 24y + 36 = 0 change it to standard form. %3D |…

A: we know that the general equation of circle will be x^2+y^2+2gx+2fy+c=0 that is 2g=-36 g=-18 2f=14…

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: Find the center, foci, vertices, and eccentricity of the ellipse…

A: 9x2+4y2+36x-24y-36=0⇒9x2+36x+4y2-24y=36⇒9x2+4x+4y2-6y=36⇒9x2+4x+4+4y2-6y+9=36+36+36⇒9x+22+4y-32=108⇒…

Q: The equation of the major axis of the shown ellipse is Select one: O a.x 0 Ob.x=-2 Ocy 0 O d.y= 1

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Q: Find the equation of an ellipse whose minor axis is 6 and whose foci are located at (+8, 0). O + = 1…

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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.