Find an equation of the parabola that satisfies the conditions. a) Focus (0, -) and directrix, y = IN

Q: Find the equation of the parabola and the length of the latus rectum with directrix y = -2 and focus…

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Q: Finally, determine a. The parabola passes through the point (0, 5). Substitute the values of x and y…

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Q: = 18 , find the co-ordinates of the vertices, foci, equations of the For the hyperbola 9Y² – 2X?…

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Q: Find an equation of the hyperbola satisfying the indicated properties.

A: Given :              Focus = 26, 0              Asymptote lines:…

Q: Find the equation in rectangular coordinates of the quadric surfaceconsisting of the two cones φ =…

A: The relation between spherical and rectangular coordinates in polar form is given by the following…

Q: For a hyperbola, the foci lie on a line called the_________

A: Given that, A statement, " For a hyperbola, the foci lie on a line called the ______ ."

Q: Determine the equation in standard form of the parabola that satisfies the given conditions…

A: Given that :

Q: In a parabola, the directrix has equation x = 1 and the vertex is at (3, 1). What are the…

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Q: What must be true of the foci of a hyperbola? The foci must lie --Select--- of the hyperbola and…

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Q: Find the locus of the foot of the perpendicular from the center of the ellipse x²/a²+y²/b² = 1 on…

A: Let end points of chord be P(acosθ,bsinθ) and Q(acosθ-π2,bsinθ-π2)that is P(acosθ,bsinθ) and…

Q: 2. Parabola with x+1= 0 as the directrix, y = 1 as the axis, and the length of the latus rectum is…

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

Q: Determine the DE for: Parabolas with axis to the x- axis and with distance from focus to  vertex…

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Q: The transverse axis of a hyperbola is 8 and the distance between foci is 12. Find the length of the…

A: The length of the transverse axis of a hyperbola is 8. It is known that the length of transverse…

Q: Find the equation of the parabola with directrix x + 1 = 0, axis y = 2, and latus rectum 3.

A: Given :          The equation of directrix of the parabola is x + 1 = 0          The length of the…

Q: The line perpendicular to the directrix and passing through the focus of a parabola is called the…

A: Given:

Q: Find the standard form of the equation of the parabola with the given characteristics Vertex: (0, 5)…

A: Given vertex and directrix are (0, 5) and y= -3. The equation of parabola is x-h2=4py-k where (h, k)…

Q: Find the standard equation of the parabola with directrix x + 1 = 0, axis y = 1 and the length of…

A: Find the standard equation of the parabola with directrix x + 1 = 0, axis y = 1 and the length of…

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: Find the standard form of the equation of the hyperbola with the given characteristics. Vertices:…

A: All vertices and foci are on the x-axis so the equation of the hyperbola has the standard form:

Q: Which quadric surfaces have both hyperbolas and parabolas as traces?

A: Consider the given: The intersection of a three-dimensional surface and a plane is called a trace.…

Q: Find an equation in standard form for the hyperbola that satisfies the given conditions. Transverse…

A: In a hyperbola the straight line joining two vertices is the Transverse axis Distance between the…

Q: A parabola has an equation of y² = 4x. Find the nearest distance from the point (-3, 6) to the %3D…

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Q: Find an equation for the hyperbola that satisfies the given conditions. Foci: (+10, 0), length of…

A: The foci of the hyperbola are ±10,0 and the length of the transverse axis is 16. The objective of…

Q: Determine the standard form of an equation of the parabola with focus (1, 2) and directrix x = 7.

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

A: Here we find the equation of parabola.

Q: State whether the given equation defines an elliptic paraboloid, a hyperbolic paraboloid, or an…

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Q: Find an equation for the hyperbola that satisfies the given conditions. Foci: (±5, 0), length of…

A: We will find the equation of hyperbola.

Q: What are the coordinates of the end points of the latus rectum of the parabola with equation a - 2z…

A: What are the coordinates of the end points of the latus rectum of the parabola with equation…

Q: Find an equation of the ellipse having a major axis of length 12 and foci at (0, 5) and (0, 1). =D ?

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Q: Determine the coordinates of points A and B on a parabola y midpoint of AB is as close as possible…

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Q: Find the equation of the parabola with directrix x + 1 = 0, axis y = 2, and latus rectum 2.

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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: What is the length of the transverse axis of the hyperbola whose foci are (0, -5) and (0,5), and…

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

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Q: Find the standards form of the equations of the below parabolas with the given characteristics.

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Q: Is the set of all points in a plane, the difference of whose distances from two fixed points (the…

A: For the given statement

Q: What is the Equation of a Parabola with directrix x = 3/2 and focus (5/2 , 4)

A: The given problen is solved below in detail.

Q: What is a parabola? What are the Cartesian equations for parabo-las whose vertices lie at the origin…

A: Explanation:

Q: Determine the coordinates of points A and B on a parabola y AB is as close as possible to the…

A: Please refer the attached image for complete solution.

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 an equation of the paranola in standard form: with the vertex at V (2,-4) and directrix y= -5

A: Find an equation of the parabola in standard form: with the vertex at V (2,-4) and directrix y= -5

Q: Find the equation of the parabola with directrix x + 2 = 0, axis y = 4, and latus rectum 4.

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Q: The cable of a suspension bridge is in the form of a parabola. The towers supporting the cable are…

A: Given that The cable of a suspension bridge is in the form of a parabola. The towers supporting the…

Q: Determine the standard form of equation of a hyperbola with center at (6,4), with a focus at (6, –…

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Q: Find the standard form of the equation of the parabola with the given characteristics. Focus: (1,…

A: Given: A rough sketch of the parabola shall be as follows:

Q: What is the equation of the parabola with vertex at (0, 0) and directrix y = 3 in standard form.…

A: Given vertex 0,0 and directrix y=3. We have to find equation of parabola.

Q: What is the length of the transverse axis of the hyperbola whose foci are (0, -5) and (0,5) , and…

A: The foci of Hyperbola are:   (0, -5)  and  (0, 5). Length of transverse axis of Hyperbola is:  2a…

Q: Find the equation for the parabola that has its vertex at the origin and has directrix at a The…

A: Given that, Vertex of the parabola are, (h, k) = (0, 0) And diretrix of parabola is x = - 12 We have…

Q: What will be the equation of hyperbola that satisfies the given condition foci at (+ 24,0) and the…

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