Find the end points of the minor and major axis for the graph of the ellipse(x−2)^2/25+(y−1)^2/36=1 Maximum point on the major axis:  Minimum point on the major axis:  Maximum point on the minor axis:  Minimum point on the minor axis:  Maximum focal point:    Minimum focal point:

Q: Find the length of the directrix of an ellipse x2/16 + y2/9 = 1

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Q: Find an equation of the parabola with vertex (-2,-4) and directrix y=-9.

A: given vertex (h,k)=(-2,-4) h=-2,k=-4 directrix y=k-p=-9                  p=k+9                p=-4+9…

Q: Sketch the graph of the hyperbola 4x2 − y2 = 16.

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Q: Find the end points of the minor and major axis for the graph of the ellipse (x – 4)? 25 (y – 6)² 1…

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Q: Find the standard form of the equation of the parabola with the given characteristics. Vertex:…

A: General equation of parabola,(x-h)2 = 4p(y-k)where (h,k) is Vertexy = k-p is directrix

Q: Write the equation of the parabola with Vertex (5,1) and Directrix xr 3.

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Q: What is the equation of the parabola with vertex at (0, 0) and directrix y = -8 in standard form?…

A: Given that, vertex of parabola is (h, k) = (0, 0) diretrix of parabola is, y = -8 We have to find…

Q: Find the equation of the parabola with focus (-3, 0) and directrix x-3.

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Q: then find the end points of the minor and major axis for the graph of this ellipse. Maximum point on…

A: Compare the given equation of the ellipse with standard form of ellipse with center at origin,…

Q: Find the center, vertices, foci, and eccentricity of the ellipse. x2 = 1 169 144 center (х, у) 3D…

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

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Q: Consider the point P (-1,0)on the ellipse 4x2 + y? What is the value of a? Answer to 3 significant…

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Q: Parameterize an ellipse which begins at (-3, 3) at t=0 and then passes through (-6, 1), (-3, -1),…

A: First we have to find equation of ellipse in rectangular coordinate.

Q: Find the center and foci of the ellipse. (x+5) (y+9)² = 1 %3D

A: The given ellipse equation,(x+5)25+(y+9)29=1

Q: Find an equation of the parabola with vertex , 34 and directrix =y2 .

A: It is given that the vertex of the parabola is (3,4), where h = 3 and k = 4 and the directrix is y =…

Q: Find an equation for the ellipse that shares a vertex and a focus with the parabola y2 + 4x = 36 and…

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Q: Find an equation of the parabola with vertex (5,-5) and directrix y=-3   .

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

A: First we have to calculate distance from directix to vertex. I.e P Then insert values of center and…

Q: Find the general equation of the parabola with vertex at the origin and focus at (-4, 0)

A: The general equation of a parabola with vertex (h,k) is (y-k)2=4a(x-h)

Q: Find an equation for the parabola with vertex (0, 0) and focus (6, 0).

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Q: Find the evolute of the ellipse x2a2+y2b2=1.

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Q: Find the standard form of the equation of the parabola with the given characteristics Vertex: (0, 5)…

A: Given vertex and directrix are (0, 5) and y= -3. The equation of parabola is x-h2=4py-k where (h, k)…

Q: find the equation of the parabola with the given properties. Vertex (3, 4), directrix y = −2

A: The point of intersection of the parabola and its axis is called Vertex. The general form of the…

Q: 3) A large racetrack can be modeled by the ellipse x2 + = 1, where x and y are measured in…

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

Q: The Arecibo Observatory in Puerto Rico was just decommissioned after sustaining a lot of damage, but…

A: It is given that, the height of the focus from the vertex is 500 feet and it is 1000 feet wide at…

Q: find the equation of the parabola with the given properties. Vertex (0, 0), directrix y = −5

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Q: The length of the latus rectum for the ellipse x^2/64 + y^2/16 = 1 is equal to

A: Explanation of the answer is as follows

Q: Find an equation of the parabola with vertex (3, 4) and directrix y = 1.

A: Graph of parabola :

Q: An ellipse has its major axis on the x-axis, center at ( -3, 0 ), one of the vertices at ( -5, 0 )…

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Q: Find an equation of the parabola with vertex (−4, −2) and directrix y=−7.

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Q: Find the largest triangle that can be inscribed in the ellipse (x2/a2)+(y2/b2)=1 (assume the…

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Q: 10. Find an equation for the parabola with vertex (0, 0) and focus (4, 0).

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Q: Find the points on the ellipse 3x2 + y2 = 3 that are farthest away from the point (1, 0). What I…

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Q: Find the length of the diameter of the ellipse 3x2+y2 +2x-6y=0. Which has a slope of 2.

A: Ellipse

Q: Find the equation for the parabola with vertex (-3,0) and focus (0,0).

A:

Q: Find the end points of the minor and major axis for the graph of the ellipse (x – 4)² + (y – 4)² 1 9…

A: The equation of the ellipse                                          x-429+y-4236=1 We have to…

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

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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 equation in standard form of the ellipse whose focu are F1(-8,0) and F2 (8,0) such that for…

A: Given foci F1(-8,0) and F2 (8,0) of the ellipse and we know that the center is (0,0) and that the…

Q: A rectangle is inscribed in an ellipse so that two of its sides pass through the foci. If the x2…

A: The distance between foci of an ellipse x2a2+y2b2=1 is 2ae Where, e=1-b2a2 (a>b)

Q: Find the end points of the minor and major axis for the graph of the ellipse(x−2)^2/16+(y−4)^2/36=1…

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Q: Find the dimension of the rectangle of maximum area that can be inscribed in the ellipse…

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Q: Find an equation of the parabola with vertex (4,2) and directrix x=-1

A: Find the equation of parabola:

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

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

Q: Find the dimensions of the rectangle with maximum area that can be in- bed in the ellipse x²/a² + y²…

A: Dimensions of the rectangle with maximum area that can be inscribed in ellipse  x2a2+ y2b2= 1

Q: Find the standard equation of the parabola which satisfies the given conditions. Vertex (−8,3),…

A: To find the standard equation of parabola

Q: IV. Write the equation of the ellipse. 1) vertices at (-10, 4) and (2, 4); minor axis with length 10…

A: According to the company rule we can answer only first question and rest can be reposted.

Q: what is the graph of the equation x - y^2 - 4x^2 = 0? hyperbolic paraboloid, ellipsoid, elliptic…

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Q: A rectangle is to be inscribed in the ellipse described by x? + = 1. What should the dimensions of…

A: Given,  The equation of the ellipse x2 + y29 = 1  We have to find the dimension of rectangle with…

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.