Find the general equation of the ellipse with center at the origin, one focus at (0,-8) and a vertex at (0, 6).

Q: Use the given information about the graph of an ellipse to determine its equation. center at the…

A: Use equation of ellipse to solve

Q: Find the equation of an ellipse with focus at (-6,-2), co-vertex at (-1,5) and a horizontal major…

A:

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

A: Given : vertically oriented ellipse as foci is (0, -7) and (0, 7)  To find : Equation if ellipse

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

A:

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

A: Consider the given figure: It is an ellipse with center origin.

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

A:

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

A:

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

A: Vertices V (0,±5), minor axis of length 3

Q: Write an equation for the ellipse centered at the origin with a major axis 14 units long with…

A:

Q: Find an equation of the ellipse with center at (0, 0); vertex at (0, 4); focus at (0, -2).

A:

Q: Find an equation of the ellipse having a major axis of length 10 and foci at (2, -2) and (2, –8).…

A:

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

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

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

A: Standard equation of an ellipse, x-h2b2+y-k2a2=1 Where a > b Where (h, k) is center of an…

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

A:

Q: Determine the equation of the ellipse with center (7, 1), a focus at (2, 1), and a vertex at (-6,…

A:

Q: Find the standard form of the equation of the ellipse that satisfies the given conditions. a. Ends…

A: The distance between the endpoints of the minor axis is equal to 2b, so…

Q: Write the equation of the ellipse that has a center at (- 4, - 5), a focus at (– 1, – 5), and a…

A: The general equation of an ellipse centered at a point (h,k) with major axis parallel to the x axis…

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: 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: Sketch the graph of the ellipse with equation 9x + 4y = 36 %3D

A:

Q: Find an equation for the ellipse that satisfies the given conditions. Foci: F(0, ±2), vertices: (0,…

A: Given, Foci: F(0,±2),  vertices: (0,±5)

Q: Find an equation for the ellipse. Center at (0, 0); focus at (3, 0); vertex at (4, 0)

A: SOLUTION-

Q: Find the general equation of the ellipse given: covertices at (-1,2) and (-1,-4), focus at (1,-1)

A:

Q: Write the equation of the ellipse that has its center at the origin with focus at (0,4) and vertex…

A: The ellipse has its center at the origin with focus at (0,4) and vertex at (0,7)

Q: Find an equation of the ellipse having a major axis of length 12 and foci at (1, –5) and (-5, -5).…

A: We have to find equation of ellipse having major axis of length 12 and foci at (1, -5) and (-5, -5)…

Q: Find the equation of the given ellipse. Foci at (±10, 0) and focal vertices at (±26, 0).

A:

Q: Find the equation of the ellipse in standard form centered at (-2, 7) with a vertical major axis of…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the standard form of the equation of the ellipse that satisfies the given conditions. a. Foci…

A: Standard form of ellipse

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

A:

Q: Find an equation for the ellipse. Center at (0, 0); focus at (-2, 0); vertex at (7, 0)

A: According to question given that Center (0,0), focus (-2,0), vertex (7,0)We have to find the…

Q: 4. Find an equation for the ellipse with Center at: (0, 0) Focus at: (2, 0) Vertex at: (5, 0)

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 for the ellipse whose graph is shown. I X y X 3 0 4

A: The figure of the ellipse is To evaluate: The equation of ellipse.

Q: Give the equation in standard form of the ellipse centered at the origin with a focus at (0, 4), and…

A:

Q: Find an equation of the ellipse that has center (1, – 2), a minor axis of length 6, and a vertex at…

A:

Q: Find an equation of the ellipse having a major axis of length 10 and foci at (-2, 3) and (-6, 3).…

A:

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

A:

Q: Write the equation of the ellipse that has a center at (– 5, – 3), a focus at (– 3, – 3), and a…

A: This question is about application of conic section

Q: 1 -1 (5, –4) (3, –5) (7, –5) (5, –6)

A:

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

A: Compare (0±6,0)=(h±a,k)a=6

Q: Find the equation(in standard form) of the ellipse whose foci are F₁ (-10, 0) and F₂ (6, 0), such…

A: we know that from any point on ellipse, sum of its distances d from the foci is given by d=2a where,…

Q: Derive the equation of the ellipse b y* =1 a

A: Given: x2b2+y2a2=1

Q: Give the equation in standard form of the ellipse centered at the origin with a focus at (4, 0), and…

A:

Q: Find the equation of the ellipse in general form with center (-1, 1), focus (1, 1), and vertex (2,…

A: The general equation for ellipse is x2a2+y2b2=1

Q: Find the standard form of the equation of the ellipse with the given characteristics. У х -1 (2, –2)…

A: Center is the midpoint of the vertices (0,-3) and (4,-3) Center = (h,k)= (2,-3)