4. The line segment with endpoints at the vertices of an ellipse is called the axis.

Q: Find the length of a,b,c of the hyperbola: y^2-x^2=1

A: The given equation of hyperbola is: y2-x2=1

Q: Choose one: If the foci of an ellipse are close to the center of the ellipse, then the graph will…

A: If the foci of an ellipse are close to the center of the ellipse, then the graph will appeaer.a.…

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

A: Given that,

Q: 4. Determine the equation of an ellipse having foci (0, ±9) and major axis length 22.

A:

Q: Give the property that defines all ellipses.

A: To determine: Properties that define all ellipses.

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

A:

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

A:

Q: Give the maximum number of points at which the following pairs of graphs can intersect. (a) A line…

A: (a) A line and a hyperbola :The maximum number of points at which a line and a hyperbola can…

Q: Find the points on the ellipse  5x2 + y2 = 5  that are farthest away from the point (1, 0).

A:

Q: What are the noteworthy distances of an ellipse?

A: Noteworthy distances of an ellipse

Q: 5. The equation of a family of parabolas with axis paralel to the y-axis is

A:

Q: What is the equation of the directrix of the parabola having a vertex at (6,0), passing through…

A: Given:- What is the equation of the directrix of the parabola having a vertex at (6,0), passing…

Q: What is the equation of the given ellipse? YA

A: Vertex ( -3 , 2 ) covertex ( -1 , -1.5 )   Center= ( h , k )= ( -3 , - 1.5 )   Major axis b = 2 - (…

Q: What is the standard equation of an ellipse with foci (-7,6), (-1,6) and sum of distances at every…

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: Show that an ellipse has exactly 4 vertices, unless it is a circle.

A: Consider an equation of ellipse x2a2+y2b2=1 where a,b>0. In parametric form, its equation can be…

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: The line segment perpendicular to the axis of symmetry, passing through the focus and with endpoints…

A: Given:The line segment perpendicular to the axis of symmetry, passing through the focus and with…

Q: The distance between the vertices of an ellipse is 10. The distance between the foci is 6. What is…

A: Given query is to find the distance between directrices.

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: focus shaded region has area 8

A: we know that equation of parabola is given by x2=-4ay where, focus is 0,-a, vertex is 0,0 and…

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

A: Use simple standard equation

Q: Suppose that point A(-4,0) lies on a parabola whose focus is at (5,3). What is the length of the…

A:

Q: what is the equation of a parabola with a vertex at (4, 8) and a directrix at y=5

A:

Q: Which graph corresponds to an ellipse with foci located at ((2+2√5), 6) and ((2−2√5), 6) and the…

A:

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: 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. The x- coordinates of the foci of a vertical ellipse are equal.

A: ## we want to find that the given statment is true of false, the given statement is the x coordinate…

Q: 5. Explain the distinguishing feature of the distance between the foci and a point on the ellipse.

A: Every ellipse has two axes of symmetry. The foci always lie on the major axis, and the sum of the…

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

A:

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

A:

Q: If the focal length of a parabola is 6 units and the vertex is (3, 2), is it possible to determine…

A: Focal length of a parabola is 6 units and the vertex is (3, 2).

Q: 4) Find the equation for the ellipse that has vertices at (-3, 1) and (-2, 4) and center at (-2, 1).

A:

Q: A large racetrack can be modeled by the ellipse x² + y2 1, where x and y are 4 measured in…

A: Ellipse is a plane curve surrounding two focal points, such that for all points on the curve, the…

Q: 1) WHAT IS THE DIFFERENCE BETWEEN THE EQUATIONS FOR PARABÓLAS, ELLIPSES, CIRCLES AND HYPERBOLAS?

A:

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

A:

Q: Find the envelope of the family of ellipses x2a2+y2b2=1 having the same area.

A:

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

A:

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

A: The line through the foci is the major axis. Where it cuts the hyperbola is the vertices.Answer: The…

Q: Find the points on the ellipse 3x² + y“ = 3 that are farthest away from the point (1, 0).

A: For the Given Ellipse 3X2+y2=3 ,Points that are  Farthest away from the point (1,0) is calculated as…

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 the ellipse with the given characteristics. Vertices: (3,…

A: Ellipse equation.

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: .What is the equation, in standard form, if the focal width of parabola is 14 units and its vertex…

A: NOTE: Refresh your page if you can't see any equations. . the standard form of the up-down parabola…

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: Write the standard equation of an ellipse with center at (-2, 3), vertex at (-2,7) and a co-vertex…

A: Given data is: center -2,3, vertex -2,7, and co-vertex 1,3

Q: Introduction outline about three iconic circles (ellipse, parabola, hyperbola)

A: To give an introduction about parabola, ellipse and hyperbola.