3. Families of ellipses whose semi-major axis is twice of the semi-minor axis, vertex at origin.

Q: Find an equation of the ellipse that has center (0, 5), a major axis of length 4, and endpoint of…

A:

Q: What is the standard form equation of the ellipse that has vertices (3,−19) and (3,7) and foci…

A:

Q: Find the coordinates of the vertices of the ellipse with foci at (-6,-3) and (10,-3) and has minor…

A:

Q: 3. The line segment between the vertices of a hyperbola is called the axis.

A: Given that,

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: Find the points on the ellipse 4x + y² = 4 that are farthest away from the point (1, 0). (х, у) %3D…

A:

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

A:

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

A:

Q: 2. The points where a hyperbola intersects the line through the foci are called the

A:

Q: An ellipse has semi-major axis of 4 and its semi-minor axis is 3. The distance from the center of…

A:

Q: d. Family of ellipses with center at (1, -2), major axis is horizontal, and whose eccentricity is…

A: Center of the ellipse at (1, -2)  The major axis is horizontal and eccentricity e =  0.6

Q: An ellipse with center at the origin has a length of major axis 20 units. If the distance from the…

A: An ellipse with center at the origin has a length of major axis 20 units. If the distance from the…

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 ellipse satisfying the given conditions as  Major axis…

A: It is given that an ellipse whose major axis is horizontal with length 8, length of minor axis is…

Q: Find the standard form of the equation of the ellipse with the given characteristics. Center: (2,…

A: Given ellipse with:

Q: 2. The arch of a bridge is in the shape of a semi ellipse having a horizontal span of 40 meters and…

A: To find the height at the required value then you should have the equation of the ellipse.

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

A: Given:- Center: (3,-4); vertex(3, -5/2) minor axis of length 2 To find:- standard equation of…

Q: What is the standard form equation of an ellipse that has vertices (6,−1) and (−2,−1) and…

A:

Q: 2. Find the general ellipse equation when its vertices (+5,0), foci (±4,0).

A:

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 the standard form of the equahon of the ellipse with the given characteristics verhical major…

A: let equation of ellipse isx2a2+y2b2=1

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: how to determine the maximum and minimum distance of an ellipse given the major axis=477,736 and…

A: Length of the major axis is 477,736 Length of the minor axis is 477,078 We need to calculate the…

Q: 4. Find the equation of the ellipse assuming the form + = 1 if distance between foci 4, between…

A: Use simple standard equation

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

A:

Q: What is the standard form equation of the ellipse that has vertices (−4,−12) and (−4,2) and…

A:

Q: 4. Write the equation of an ellipse with minor axis endpoints (co-vertices) at (0, 3) and (0, -3)…

A:

Q: 2. Identify the coordinates of the foci, vertices and covertices of the ellipse x2 y2 with equation…

A:

Q: Find the standard form of the equation of the ellipse with the given characteristics. Center: (6,…

A:

Q: The line segment perpendicular to the transverse axis passing through the center of a hyperbola, and…

A: Consider a parabola figure

Q: find the standard equation of an ellipse centered at the origin whose major axis is horizontal and…

A: We know that standard equation of an ellipse centered at the (h,k) whose major axis is horizontal…

Q: 7. If the latus rectum of an ellipse with axis along x-axis and centre at origin is 10, distance…

A:

Q: d. Family of ellipses with center at (1, -2), major axis is horizontal, and whose eccentricity is…

A:

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

A:

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

A:

Q: 4. Find the equation of the ellipse with vertices at (2, -1) and (2, 7) and with a minor axis of…

A: We have to find equation of ellipse with given vertices and minor axis.

Q: 8. Write the equatlon of an ellipse with minor axis endpoints (co-vertices) at (0, 3) and (0, -3)…

A:

Q: 2. Find the equation of the ellipse in standard form centered at the origin having a major axis of…

A: We need to find the equation of the ellipse in standard form centered at origin having major axis of…

Q: 2. Graph an ellipse with center at (1,2), vertices at (6,2)and (-4, 2), co-vertices at (1, 6)and (1,…

A: Given:        Center at 1,2        Vertices at 6,2 and -4,2         co-vertices at 1,6 and 1,-2…

Q: What is the standard form of the ellipse with center at (0,0),vertex at (0,9) and co vertex (4,0)

A:

Q: Find the standard form of the equation of ellipse satisfying the given conditions as  Major axis…

A: Given- An ellipse has following parameter, major axis horizontal with length 12, length of minor…

Q: what is the equation of a horizontal ellipse centered at the point (9,4) whose major axis is 22…

A:

Q: Show that the product of the distances of any point if a hyperbola from it's asymptotes is constant.

A:

Q: Which is the equation of an ellipse with direcrices at x = =-4 and foci at (2,0) and (-2,0)

A: Center is the midpoint of the foci  midpoint of (2,0) and (-2,0) is : Directrix = -4