Discuss the graph of the ellipse with foci at (2, 3) and (2, −1) and an endpoint of the minor axis at (4, 1).

Q: Find an equation of the ellipse having a major axis of length 12 and foci at (5, 3) and (-3, 3). A…

A:

Q: Find an equation of the ellipse with foci at (0, 8) and (0, -8), and has major axis of length 20.…

A: Given : Foci of ellipse (0,8) and(0,-8) Length of major axis = 20.   To find : The equation of…

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

A:

Q: 13.) Find an equation for the ellipse that satisfies: 1 ессentricity and foci(0,±2) 3

A: Given: The eccentricity =13 and foci 0,±2 of an ellipse To find: The equation of the ellipse.

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

A:

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

A: If (x, y) is a point on the ellipse, then by the definition of an ellipse, d1+d2 is constant for any…

Q: 6. Find the Equation of the Ellipse whose Vertices and Foci are at (0, ±17) and (0, ±9)…

A:

Q: Find an equation for the ellipse with foci (0, ±2) and major axis with endpoints (0, ±4).

A: The points of focus for the ellipse are 0, ±2.The end points of the major axis are (0, ±4).Note…

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

A: x-intercepts of the ellipse are ±2 and y-intercepts are ±13. Therefore length of semi major axis is,…

Q: Find an equation of the ellipse having a major axis of length 6 and foci at (0, 7) and (0, 3). D=0

A:

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

A:

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 an equation for the ellipse with Center at: (0, 0) Foci at: (+5, 0) Vertices at: (±6, 0)

A: 6. The ellipse have center at 0,0 , foci ±5,0 and vertices ±6,0  Note: Multiple questions are given,…

Q: Find an equation of the ellipse having a major axis of length 10 and foci at (-3, 3) and (- 3, – 3).

A: This is a problem of locus and analytical geometry.

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

A:

Q: Derive the equation for the ellipse centered at the origin with foci (0, ±2c) and major vertices (0,…

A:

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

A:

Q: Give the equation in standard form of the ellipse centered at the origin with a focus at (0, 2), and…

A:

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

A: Foci (±3,0) and minor axis of length 2

Q: Derive the equation for the ellipse with its center at (0,0), vertex at (0,13) and focus at (0,-12)

A:

Q: Find the standard form of the equation of an ellipse with foci at (-2, 0) and (2, 0) and vertices…

A: Standard form of an ellipse whose center is origin: x2a2+y2b2=1          ...(1) Where the…

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

A:

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

A:

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 having a major axis of length 10 and foci at (6, 5) and (-2, 5).

A: Equation of the ellipse: (x−2)^2 / 25 +(y−5)^2 / 9=1

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

A:

Q: find the equation of an ellipse with a center at (0,0) and focus at (1,0) and vertex at (5,0)

A: Since the center , vertex and focus all are on the x-axis, so the standard form of the ellipse will…

Q: Find an equation of the ellipse having a major axis of length 12 and foci at (5, 3) and (-3, 3). 2 2…

A: We want to find equation of the ellipse from the given data.

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

A:

Q: Find the standard form of the equation the ellipse whose major axis is vertical with length 10, with…

A: Since the major axis is vertical so the standard form will be:

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

A:

Q: Hi I am in need of assistance as to how to solve this practice problem.

A:

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

A:

Q: Find the standard form of the equation of the ellipse with the given characteristics  (1,3) (3,3)…

A:

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

A: Given,

Q: Find an equation of the ellipse having a major axis of length 12 and foci at (6, –3) and (-4, –3).…

A: Explanation and solutions is given below....

Q: Find an equation for the ellipse with foci (±7,0), and major axis of length 18.

A: topic - equation of ellipse

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

A:

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: 4.Find the equation of the ellipse with foci (0, ± 8) and with endpoints (0,± 10)

A: Ellipse can have major axis along the x-axis or the y-axis. For ellipse with major axis along the…

Q: Find the equation of the given ellipse. Foci at (+16, 0) and endpoints of the major axis at (+34,…

A:

Q: Find an equation for the ellipse of eccentricity 2 /3 that has the line x = 2 as a directrix and the…

A: To determine the equation of the ellipse.

Q: x² +4y² –8y+4x+4=0.

A:

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

A: Given: eccentricity=1/2 passing through (1,3)

Q: Find an equation of an ellipse satisfying the given conditions.   ​Vertices: ​(8​,0) and (−8​,0)…

A: Given that the vertices = ​(8​,0) and (−8​,0) So the center will be the midpoint of ​(8​,0) and…