The ellipse 6x² + 2x + y? = 1 has its center at the point (b, c) where b = c = The length of the major diameter of this ellipse is

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 the standard form of the equation of an ellipse with vertical major axis with length 16 and…

A: The solution follows as:

Q: Find an equation of the ellipse that has center (-3, 5), a minor axis of length 2, and a yertex at…

A:

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

A:

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

A:

Q: Sketch the graph of the ellipse with center at (0, 0),vertical major axis 10 units long, and minor…

A: we have to sketch the graph of the ellipse with center at (0,0), vertical major axis 10 units long…

Q: Find the points on the ellipse 4x2 + y2 = 4 that are farthest away from the point (1, 0). (x,y)=(?)…

A:

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 points on the ellipse 3x + y = 3 that are farthest away from the point (1, 0). %3D smaller…

A:

Q: Find the locus of the foot of the perpendicular from the center of the ellipse x²/a²+y²/b² = 1 on…

A: Let end points of chord be P(acosθ,bsinθ) and Q(acosθ-π2,bsinθ-π2)that is P(acosθ,bsinθ) and…

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 the points on the ellipse  5x2 + y2 = 5  that are farthest away from the point (1, 0).

A:

Q: Find the points on the ellipse 4x2 + y2 = 4 that are farthest away from the point (1, 0).

A: Let (x,y) is the farthest point on the ellipse from (1,0) Distance between (x,y) and (1,0) is:…

Q: What are the lengths of the major and minor axes of this ellipse 6 =D1? O Major Axis: 6 units, Minor…

A:

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

A:

Q: The length of the major axis of an ellipse with foci at (-1, 2) and (3, 2) that passes through the…

A: Here we use basic defnition of major axis

Q: If the center of an ellipse is (3, –2), the major axis is horizontal and parallel to the x-axis, and…

A: An ellipse is a conic with eccentricity between 0 and 1. It has two axes: major axis and a minor…

Q: Find the equation of the ellipse that has center C (0, 4), foci F1 (0,0) and F, (0, 8), and major…

A:

Q: A searchlight is shaped like a paraboloid of revolution.If the light source is located 2 feet from…

A: draw the parabola used to form the searchlight on a rectangular coordinate system so that the vertex…

Q: find the standard form of the equahon of the ellipse with the given characteristics verhical major…

A: let equation of ellipse isx2a2+y2b2=1

Q: What is the equation of an ellipse having vertices at and a minor axis (0,+8,) which is 6 units in…

A: the standard equation of the vertical ellipse is given by x-h2a2+y-k2b2=1

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

A: Solutions

Q: A stationary artist intends to make rectangular cut-outs from the elliptical cardboard that he has.…

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Q: Find an equation of the ellipse having a major axis of length 6 and foci at (1, 4) and (1, 0).

A:

Q: The ratio of the major axis to the minor axis of the ellipse 9x2 + 4y2 – 24 y – 72x – 144 = 0 is %3D…

A: Solution is here

Q: Find the point (x, y) on the ellipse, 4(x - 1)^2+ y^2 = 1, that is farthest to the origin (0, 0).

A:

Q: Find the standard form of the equation for the ellipse centered at (0,0), having vertical major axis…

A:

Q: Compute the length of the latus rectum of the ellipse x2 + 2y2 +4x+ 4y +4=0

A: Given:    x2 + 2y2 +4x+ 4y +4=0

Q: Find an equation of the ellipse that has center (-3, 0), a minor axis of length 4, and a vertex at…

A:

Q: Find the points on the ellipse 4x2 + y2 = 4 that are farthest away from the point (1, 0). %3D (х, у)…

A:

Q: Find the points on the ellipse 3x + y = 3 that are farthest away from the point (1, 0). smaller…

A:

Q: Find the points on the ellipse 4x2 + y2  = 4 that are farthestaway from the point  (1,0 ).

A:

Q: The length of the major axis of the cllipse with center (-4, 1), minor axis parallel to the y-axis…

A: Equation of ellipse with center (-4,1) is given by

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: A large racetrack can be modeled by the ellipse x² + y2 1, where x and y are 4 measured in…

A: Ellipse is a plane curve surrounding two focal points, such that for all points on the curve, the…

Q: Find the points on the ellipse 5x2 + y2 = 5 that are farthest away from the point (1, 0). smaller…

A:

Q: Find the points on the ellipse 4x2 + y2 = 4 that are farthest away from the point (−1, 0).

A:

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: what is the length of the minor axis of the ellipse 5(x+2)2+(y-0.1)2=125?

A: Given5x+22+y−0.12=125

Q: A satellite dish is shaped like a paraboloid of revolution. This means that it can be formed by…

A: Given data:     The given opening of the dish is: b=32 feet. The given depth of the dish is: d=4…

Q: A rectangle of maximum perimeter is to be inscribed in the ellipse x^2/20^2 +y^2/11^2=1. The…

A: Explained below

Q: Find the points on the ellipse 4x2 + y2 = 4 that are farthest away from the point (1, 0). (x, y) =…

A:

Q: Find the points on the ellipse 5x2 + y² = 5 that are farthest away from the point (1, 0). smaller…

A: To find the points on the ellipse 5x2+y2=5, that are farthest away from the point 1, 0.

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

A:

Q: 2. Find the equation of the ellipse in standard form centered at the origin having a major axis of…

A: We need to find the equation of the ellipse in standard form centered at origin having major axis of…

Q: What is the standard form of the ellipse with center at (0,0),vertex at (0,9) and co vertex (4,0)

A:

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

A: Given- An ellipse has following parameter, major axis horizontal with length 12, length of minor…

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.