17. Ellipse: center (-2, 1), vertex (-2,5), passes through (0, 1)

Q: 4. Determine the equation of an ellipse having foci (0,+V5) and vertices (0, +4).

A: topic - equation of ellipse

Q: What are the vertices and foci of the hyperbola (x - 9)2/25 - (y + 6)2/144 = 1 Show all work.

A: We have to find the vertices and foci of the given hyperbola.

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

A:

Q: What is the equation of an ellipse that has vertices of (2,-1) and (2,7) and it's minor axis is a…

A:

Q: What is the standard form equation of the ellipse that has vertices (-6, –13) and (-6,7) and foci…

A: Given that, vertices of ellips are, (-6, -13)   and   (-6, 7) foci of the ellips are, (-6, -4)   and…

Q: Find the equation of the hyperboloid of one sheet passing through the points (±2,0,0), (0, ±7,0) and…

A:

Q: Find an equation in standard form for the ellipse with center at (5, 4), horizontal axis of length 8…

A:

Q: Explain why it is not possible for a hyperbola to have foci at (0, -2) and (0, 2) and vertices at…

A: The standard form of the equation of a hyperbola with center (0,0) and transverse axis on the y-axis…

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

A:

Q: What is the equation of the hyperbola with Foci at (5, 0) and (-5, 0) and conjugate axis of length…

A: Use basic concept of hyperbola

Q: Find the center, vertices and foci of the ellipse x² +4 y² -8 x-8 y= 44 Select one: O Center = (…

A: Equation of the given ellipse is x2+4y2-8x-8y=44. Rewrite the above equation in standard form…

Q: Find the points on the ellipse 4x2 + y2 = 4 that are farthest away from the point (−1, 0).

A: Given 4x^2 + y^2 = 4 y^2 = 4 – 4x^2 y = +- (4 – 4x^2)^1/2 Let distance between (x,y) and point…

Q: Find an equation of the sphere that passes through the point (6, –2, 3) and has center (-1, 2, 1).

A:

Q: Write the equation of the hyperbola that has a center at (2, – 4), a focus at ( – 2, – 4), and a…

A:

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

A:

Q: Find the point on the ellipse 4x2ty3=4 that are farthest away from the point (1,0) 4x27y2-4

A:

Q: Find the equation of the hyperboloid of one sheet passing through the points (±8,0,0), (0, ±3,0) and…

A:

Q: What is the equation of the hyperbola with vertices at (-3,0) and (3,0) and whose conjugate axis has…

A: Hyperbola A hyperbola is a locus of points in such a way that the distance to each focus is a…

Q: Find the coordinates of the foci of the ellipse with vertices at (11,3) and (-15,3) and has minor…

A: To find the coordinates of the foci of the ellipse with vertices at 11, 3 and -15, 3 and has minor…

Q: What are the vertices of the ellipse whose equation is (x2)/9 + (y2)/4 = 1?

A:

Q: Find an equation of the conic described;graph the equation.

A: The graph of Ax2+Cy2+Dx+Ey+F=0 is one of the following.a. Circle: A=Cb. Parabola: AC=0, A=0 or C=0…

Q: Find the ellipse equation with foci (0, 2) and (0, 6) and major axis vertices (0, 0) and (0, 8).

A: We can find the ellipse equation as below.

Q: Find an equation of the ellipse that has center (-3, 4), a minor axis of length 8, and a vertex at…

A: The center of the ellipse is: (-3, 4).

Q: Find the standard equation of the hyperbola that satisfies the conditions Center (0 ,5), one corner…

A: The equation of hyperbola with center ( h , k ) and the conjugate axis, vertical is as follows.…

Q: Find the equation of the hyperboloid of one sheet passing through the points (+2, 0,0), (0, ±6, 0)…

A:

Q: What is the standard form equation of the ellipse that has vertices (−6,−13) and (−6,7) and foci…

A:

Q: Find the equation for the ellipse with center (0,0), vertices (-5,0) and (5,0) and foci: (-4,0) and…

A:

Q: Find an equation of the sphere that passes through the point (8, 1, -5) and has center (5, 6, 3).

A: The objective of the question is determine the question of sphere .

Q: Find the equation of the ellipsoid passing through the points (+8, 0, 0), (0,±7,0) and (0,0, ±3) = 1

A: The standard equation of an ellipsoid is x2a2+ y2b2 + z2c2=1where a, b , c are the length of its…

Q: What are the foci of the ellipse given by (z-3)2 (y-1)2 - = 1? 25 O (-4, 1) and (4, 1) O (3, 5) and…

A: Topic : foci of an ellipse

Q: 2. What are the foci of this ellipse? 5 -5 O (-1, –4V5) and (–1, 4v5) O (-1, –2/5) and (-1,2/5) O…

A: By carefully examining the figure we will find that the major axis should pass through the line x =…

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

A:

Q: Find an equation in standard form for the ellipse with center at (7, 4), horizontal major axis of…

A:

Q: 11. What are the four vertices of the ellipse whose equation is (x2)/9 + (y2)/4 = 1? A. Vertices are…

A: Given that the elliptic equation x29+y24=1 Find the four vertices of the ellipse.

Q: What is the equation of a vertical ellipse with a center at point (8,-4), a major axis that is 12…

A:

Q: Find an equation in standard form of the ellipse described. Center (3, 4); passes through (3, 8)…

A:

Q: Find the equation of the hyperboloid of one sheet passing through the points (+8, 0, 0), (0, +6, 0)…

A:

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

A:

Q: 2- Write the equation of hyperbola that pass through point (12, 9) and have F, (0, 0) and F2 (0, 4).

A: Since, the foci of the given hyperbola are F′(0,0​) and F(0,4​) which lie on the X-axis and…

Q: Find the equation of the ellipsoid passing through the points (±3,0,0), (0, ±4, 0) and (0,0,±7) = 1

A:

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

A:

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: Find the equation of the ellipsoid passing through the points (+5, 0, 0), (0, +6, 0) and (0, 0, +7)…

A:

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

A:

Q: 15. Ellipse: center (-2, 2), focus (-5,2), vertex (-7,2)

A:

Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.