An ellipse is centered at the origin and its major axis is on the x-axis. What is the equation of the ellipse if it passes through points (1,2) and (3,1)?

Q: Find an equation of the ellipse having a major axis of length 6 and foci at (-5, 3) and (-5, -1).…

A: Given problem:- Find an equation of the ellipse having a major axis of length 6 and foci at (-5, 3)…

Q: Find an equation of the ellipse that has center (-2, 3), a minor axis of length 10, and a vertex at…

A: Center=(h,k)=(-2,3) Length of minor axis= 2b=10 b=5    a= distance from center to vertex= distance…

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

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

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

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

A: Given : Endpoints of major axis: (1,8) and (1, -4) Endpoints of minor axis: (6,2) and (-4,2)

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: Find an equation of an ellipse with center at (0,0), vertices (±6,0) and eccentricity 3/5:

A: Given : Center of an ellipse (0, 0). Vertices of an ellipse are (6, 0) and (-6, 0) Eccentricity =…

Q: Find the standard form of the equation of the ellipse with the given characteristics. (5,6), (4,3),…

A: We are given the vertices as the following. (5,6), (4,3), (6,3), (5,0) Now, we have the following.

Q: Find an equation of the ellipse that has center (-2, -3), a minor axis of length 10, and a vertex at…

A: Given x co-ordinate of centre and vertex are same , therefore type of ellipse is vertical. That is…

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

A: topic - equation of ellipse

Q: Find the standard form of the equation of an ellipse with the given characteristics. Vertices…

A: Given Vertices (-a,0)=(-11,0) and (-a,0)= (11,0) ⇒a=11 Endpoints of minor axis (0,-b)= (0,-6) and…

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

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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: Find an equation of the ellipse that has center (3, -5), a major axis of length 10, and endpoint of…

A: The standard form of the equation of an ellipse with center (h, k) and major axis parallel to the…

Q: Center at (-2,3): major axis is horizontal; passing through (1,4) and (2,3)

A: The center at (-2,3), the major axis is horizontal and passing through (1,4) and (2,3). We have to…

Q: Find the standard form of the equation of an ellipse with vertices at (0, -6) and (0, 6), passing…

A: To find the standard equation of ellipse.

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 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 of the ellipse that has center (1, 4), a major axis of length 4, and endpoint of…

A: NOTE: Refresh your page if you can't see any equations. . the equation of the ellipse is in the…

Q: Find the standard form of the equation of the ellipse with the given characteristics. Vertices:…

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

A: we have to find the standard form of the equation of the ellipse with the given characteristics.…

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: Find the standard form of the equation of the ellipse satisfying the given conditions. Endpoints of…

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Q: What is the equation of an ellipse with its center at (-2, 1), a major axis 16 units long, and…

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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: Find an equation of the ellipse that has center (-3, 4), a minor axis of length 8, and a vertex at…

A: The center of the ellipse is: (-3, 4).

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

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Q: Find an equation of the ellipse that has center (-2, 5), a minor axis of length 8, and a vertex at…

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Q: d an equation of the ellipse that has center (1, 3), a major axis of length 6, and endpoint of minor…

A: Given, The center of the ellipse =1,3 Length of the major axis = 6 End point of the minor axis = 1,…

Q: Find an equation of the ellipse that has center (-3, 2), a minor axis of length 6, and a vertex at…

A: eq. of ellipsex-h2b2+y-k2a2=1,  where h,k is center of ellipse.

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 points on the ellipse  3x2 + y2 = 3  that are farthest away from the point (−1, 0).

A: Given 3x2+y2=3

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

A:

Q: Find an equation of the ellipse that has center (-5, 3), a major axis of length 10, and endpoint of…

A:

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

A: Under this case, vertices are given by (xc, yc ± a)

Q: Find the points on the ellipse 3x² + y“ = 3 that are farthest away from the point (1, 0).

A: For the Given Ellipse 3X2+y2=3 ,Points that are  Farthest away from the point (1,0) is calculated as…

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: What is the standard form equation of an ellipse that has vertices (−2,14) and (−2,−12) and…

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

A: Ellipse equation.

Q: Find an equation of the ellipse that has center (5,-1), a minor axis of length 4, and a vertex at…

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Q: Find the standard form of the equation of ellipse satisfying the given conditions as, end points of…

A: we have to find the standard form of the equation of the ellipse satisying the given conditions as…

Q: One successful method to treat kidney stones is by emerging the patient in an elliptical tank and…

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Q: Write the standard equation of an ellipse with center at (-2, 3), vertex at (-2,7) and a co-vertex…

A: Given data is: center -2,3, vertex -2,7, and co-vertex 1,3

Q: Find an equation of the ellipse that has center (-5, 3), a minor axis of length 4, and a vertex at…

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