In an ellipse, the foci are at (-4, 3) and (4, 3) and one vertex is at (6, 3). How long is the major axis?

Q: Find the standard form of the equation of an ellipse with the given characteristics. Foci (0,-1) and…

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Q: Find an equation of the ellipse having a major axis of length 6 and foci at (5, –2). and (1, -2).

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Q: Write an equation for a ellipse centered at the origin, which has foci at (±√12, 0) and vertices at…

A: Given

Q: If the foci of an ellipse are(-4,4) and(6,4) , then the coordinates of the center of the ellipse…

A: Given : The statement , If the foci of an ellipse are(-4,4) and(6,4) , then the coordinates of the…

Q: If the foci of an ellipse are located at (-8, 6) and(10, 12), then the coordinates of the center of…

A: We have foci of an ellipse  (-8, 6) and (10, 12)   The center is located at (h, k) We know that…

Q: Write the equation of the ellipse in standard rectangular form that has foci at ( 2 , − 2 ) a n d (…

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Q: 3- Sketch the ellipse given that vertices at (8, 0), (-8, 0) and minor axis = 6.

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Q: Find the equation of the ellipse with foci (0,12) and vertices (0,3)

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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 an equation of the ellipse that has center (-5, 2), a gmjor axis of length 4, and endpoint of…

A: Equation of ellipse:x-h2a2+y-k2b2=1

Q: What is the equation of the standard ellipse with vertices at (±a, 0) and foci at (±c, 0)?

A: To find the equation of the standard ellipse with vertices ±a,0foci ±c,0

Q: 27x2 + 9y2 - 81 = 0 %3D

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Q: Find the standard form of the equation of the ellipse satisfying the given conditions. Foci: (-5,…

A: Given y coordinate is zero hence given ellipse is horizontal ellipse

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

A: Here the y coordinate of the focus is Changing so we can say that major axis of the ellipse is…

Q: Find the equation of the ellipse in standard form centered with foci located at the (4, -5) and (-8,…

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Q: Find the vertices and foci of the ellipse: 49x2 + 9y2 = 441(Round to the nearest tenth if…

A: For the standard form of ellipse x2a2+y2b2=1, vertices will be ±a, 0 or (0, ±b) as per a>b or…

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

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Q: What is the standard equation of an ellipse with foci (-7,6), (-1,6) and sum of distances at every…

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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: Determine the equation of the ellipse with center (-2,-4), a focus at (-2,5), and a co-vertex at…

A: Given:        center =-2,-4        focus =-2,5        co-vertex 10,-4 Equation of Ellipse is…

Q: Determine the equation of the ellipse using the information given. endpoints of minor axis at (0,…

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Q: Find an equation for the ellipse that satisfies the given conditions. Foci: F(0, +-square root…

A: Foci:  F(0, ±10), vertices (0, ±7)We know that equaton of ellipse is x2a2+y2b2=1  (a<b)Here focus…

Q: Find the standard form of the equation of an ellipse with the given characteristics. Foci (0,-3) and…

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Q: If the foci of an ellipse are ( - 4, 4) and (6, 4), then the coordinates of the center of the…

A: Given: foci of an ellipse are ( - 4, 4) and (6, 4)

Q: Find an equation for an ellipse with foci (+12,0) and vertices at (±13,0).

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Q: Find an equation of the ellipse that has center (1, -3), a minor axis of length 2, and a vertex at…

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Q: Find the coordinates of the foci of an ellipse with center at (-1,2), one co-vertex at (2,2), and…

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

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

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Q: What is the equation of the ellipse with center at (0, 0) and vertices at paints (2, 0). (0, 3), and…

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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 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 of the ellipse that has center (0, -4), a minor axis of length 4, and a vertex at…

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Q: Find the standard form of the equation of the ellipse with the following characteristics foci (4,0)…

A: Given  foci (4,0) (-4,0) and vertices (6,0)(-6,0) We know that standard form of ellipse X^2/a^2…

Q: Find the equation of an ellipse whose foci belong to the x-axis and passes through the points (4,3)…

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Q: Find the equation of the ellipse with vertices at (−10, −4) and (6, −4), and covertices at (−2, −9)…

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Q: Determine the equation of the ellipse with foci (1, 4) and (-5, 4), and co-vertices (-2,8) and…

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Q: Find an equation of the ellipse having a major axis of length 10 and foci at (6, -4) and (2, -4).

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Q: Find the standard form of the equation of ellipse satisfying the given conditions as Foci: (-2, 0),…

A: Given that the coordinates of foci of ellipse are (-2,0), (2,0)  and coordinates of vertices are…

Q: Find an equation of the ellipse that has center (0,-2), a minor axis of length 8, and a vertex at…

A: We have to find the equation of the ellipse.

Q: Given the ellipse whose equation is 16x^2+49y^2+96x-196x-444=0. Locate the center, vertices,…

A: We will solve the problem

Q: Find an equation of the ellipse that has center (0, -3), a minor axis of length 12, and a vertex at…

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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: Sketch the ellipse, and label the foci, vertices, and ends of the minor axis. 25x? + y + 25x –36y…

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Q: Write the equation of the ellipse that has foci (0, 3) and (0, -3) and vertices (0, 5) and (0, –5).

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Q: Find an equation of the ellipse that has center (-1, -2), a minor axis of length 8, and a vertex at…

A: Given that: Centre of ellipse, (h, k)=(-1, -2)Minor axis length, 2b=8Vertex= (-6, -2)