I. Find the standard equation of the ellipse which satisfies the given conditions. 4. covertices (-4; 8) and (10; 8), a focus at (3; 12)

Q: Write the equation of the ellipse that has a center at (- 6, 3), a focus at (– 2, 3), and a vertex…

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Q: Find an equation for the ellipse whose graph is shown. y F(0, 4) 4

A: find explanation below

Q: Find equations of the osculating circles of the ellipse 4x2 + 9y2 = 36 at the points (3, 0) and (0,…

A: Concept- we can find equation of oscillating circle with the help of parametric equation.

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

A: Given:Vertices of major axis: (-2,12) and (-2,4)Length of minor axis is 4

Q: Find the standard form of the equation of the ellipse with the given characteristics. y 10- 8 6…

A:

Q: what is the length of the minor axis of the ellipse given by the equation x^2/169 + y^2/64 = 1 1.…

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Q: Determine the general form of equation of an ellipse whose standalu (x-2)2 (y+3)2 + = 1. 9 4 1.…

A:

Q: Write the equation of the ellipse that has a center at (6, – 4), a vertex at (12, (6, 1) - 4), and a…

A: on solving this we get

Q: Find an equation for the ellipse that satisfies the given conditions. Foci: F(0, ±/10), vertices:…

A:

Q: What is the general form of an ellipse with foci at (0, ±2), and vertices at (0, ±4)7

A: Given query is to find the equation of the ellipse.

Q: Write the equation of the ellipse that is centered at (3, 3) and contains the following points:…

A:

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

A: Given:

Q: Graph the given ellipse 22 9 + y² 4 1.

A: given equationx29+y24=1

Q: Find an equation for the ellipse that satisfies the given conditions. Foci: F(±√15, 0), vertices:…

A: The general equation of an ellipse with its major axis parallel to x-axis is given as x2a2+y2b2=1 .…

Q: 13. Write the equation in standard form for an ellipse. Graph the ellipse. 4x2 - 16x + 9y2 + 54y +…

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Q: Find an equation of the form ax? + by? = c for the ellipse that passes through the given points. (2,…

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

A: This is a problem related to conics section. Based on the general formula and concepts we will find…

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

A: Given:

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: 2x2 + 3y2 – 12 = 0 - 24 1 44 200 12 14 14 15 14 24 erom 22 24 24 O y=vC(12-2x*2)/3) O…

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Q: The equation of the ellipse that has a center at (8, 2), a focus at (12, 2), and a vertex at (3, 2),…

A: Given :  An ellipse has a center at (8,2) a focus at (12,2) and a vertex at (3,2).

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: What is the equation of the given ellipse? Y (-3, 2) (-1,-1.5) X

A: Graph of the ellipse is given, we have to find its equation.

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: What is the standard form equation of the ellipse that has vertices (±6, 0) and co-vertices (0, ±5)?…

A: We have to find the equation of the ellipse with given vertices and co-vertices.

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

A: Standard form of ellipse

Q: Find the shortest distance from the point (o, 5) to the ellipse 3y? = x³.

A: We will find the the distance from the given problem.  We know      Distance (D) = sqrt {(x-x1)2…

Q: Find the standard form of the equation of the ellipse with the given characteristics. (x – 6)² , (v…

A: Center of the ellipse is the midpoint of (6,0) and (6,8) That is: Length of the major axis =…

Q: Which of the following equations does not represent an ellipse? * x² + 2y² - 16 = 0 Option 1 x² +…

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

A: Given,           Foci: (0, -6), (0,6); Vertices:(0, -8), (0,8)Since, the foci and vertices have the…

Q: What will be the equation of the ellipse with a center at the origin and passes through the points…

A: Given query is to find the equation of ellipse.

Q: Find an equation for the ellipse that satisfies the given conditions. Foci: (+4, 0), vertices: (+5,…

A:

Q: Which of the following equations does not represent an ellipse? * x² + 2y² - 16 = 0 Option 1 x² +…

A: topic - equation of ellipse

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

A:

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

A: The given ellipse is of the form whose major axis along the y axis  .The equation of this type of…

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

A: Major axis is parallel to y axis. So the standard form will look like:

Q: Write the equation of the ellipse that has a center at (- 4, 3), a focus at (- 7, 3), and a vertex…

A: Answer is mentioned below

Q: The equation of the ellipse that has a center at (8, 5), a focus at (5, 5), and a vertex at (13, 5),…

A:

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

A: Given: x2b2+y2a2=1

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: () and (.0) and 13. Vertices at one

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Q: 2. What is the standard form equation of the ellipse with vertices at (0, 6) and (0, -6) and co-…

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Q: Find an equation for the ellipse whose graph is shown. y F(0, 2) 2

A:

Q: 3. Determine whether an ellipse exists if it has an equation of 4x2 +9y2-24x + 36y - 36 = 0. %3D

A: Here we have to show the given expression is ellipse or not Where the expression is as…

Q: Write an equation of an ellipse with center at (3,2), focus at (5,2), and vertex at (8,2). (x- 3)2 ,…

A: