Write the equation of the hyperbola of foci F1(2, −1), F2(2, 4) and focal radius difference equal to 3.

Q: Determine the equation of a hyperbola having foci (0, +4) and asymptotes y =

A: Given:  Foci :( 0 , ±4 )   Asymptotes: y = ±3x

Q: Write an equation for the hyperbola that has foci at (0,1113) and (0,- 113), and asymptotes y = +…

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Q: Find an equation of the hyperbola having foci at (8, - 2) and (12, -2) and vertices at (9, - 2) and…

A: Here we have to find the equation of hyperbola having foci at (8,-2) and (12,-2) and Vertices at…

Q: find the equation of hyperbola with center (4,-1), transverse axis parallel to the y axis distance…

A: Given: A hyperbola with center 4, -1 , whose transverse axis is parallel to the y-axis. The…

Q: Find the standard form of the equation of the hyperbola with the given characteristics. Foci: (±5,…

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Q: Write the equation of the hyperbola centered at the origin, with length of the horizontal transverse…

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Q: What’s the difference between the equations for locating an ellipse’s foci and locating a…

A: It is known that for ellipse the equation of the foci is c2=a2-b2,where c is the foci,a is the…

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

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Q: What is the standard form equation of the hyperbola that has vertices (0,±2) and foci (0,±/29)?

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

A: Given that hyperbola satisfies the following conditions: Foci=0,±5  and length of transverse axis is…

Q: Write the equation of the hyperbola centered at the origin, with length of the horizontal transverse…

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Q: Find the standard form of the equation of the hyperbola satisfying the given conditions as Foci:…

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Q: Write the equation of a hyperbola with center at the origin, passing though (±4,0) with no…

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Q: Find the equation (in Graphing Form) of the hyperbola with Foci (-9,2) and (1,2) and 8 as the…

A: Equation of a hyperbola with centre (a',b') and length of transverse axis as 2a units, and , length…

Q: Find the equation of the hyperbola in general form with foci at (-2, 0) and (2, 0), vertices at (-1,…

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Q: What is the equation of a hyperbola with major axis parallel to the y – axis?

A: The standard form of the equation of a hyperbola with center (h, k) and transverse(major) axis…

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

A: Given the foci of the hyperbola (0,-5) and (0,5) .We know that the foci of hyperbola is represent by…

Q: Explain how to use y2 = 8x to find the parabola’s focus and directrix.

A: Given: y2=8x   To find: The parabola’s focus and directrix

Q: Write the standard form of an equation of a hyperbola with center (h, k) and transverse axis…

A: The standard form of the equation of a hyperbola with center (h, k) and transverse axis is vertical…

Q: Find the equation of the parabola with directrix y = 3, axis x = 0, and latus rectum 4. (two answers…

A: The standard equation of the parabola is (y-k)=4a(x-h)2, where h and k are the coordinates of the…

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: Write the standard form of an equation of a hyperbola with center (h, k) and transverse axis…

A: Standard form of a hyperbola having centre at origin and transverse axis is a line parallel to…

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: Find the standard equation of the hyperbola that satisfies the conditions.

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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: Write the equation of the hyperbola centered at the origin, with length of the horizontal transverse…

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Q: Write an equation for a parabola with focus of (-1,1) and directrix at y =-7

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Q: Find an equation of the evolute of the hyperbola y=1/x.

A: Given: The equation of hyperbola,

Q: Find an equation of the hyperbola with vertices at (±5, 0) and foci (±10, 0)

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Q: oci (-3, 1) and (7, 1),

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Q: I llustiate and Sketch the equation of parabola ?f vertex

A: General equation of parabola is of form y2=4ax or x2=4ay

Q: Find an equation for the hyperbola with foci (0, -2) and (0, 2) that passes through the point (12,…

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Q: Find an equation for the hyperbola with vertices (+8,0) and foci (+10,0).

A: Here we have to find the equation of the hyperbola with vertices ±8,0 and foci ±10,0

Q: Find the standard form for the equation of the hyperbola with foci (0,0) and (8,0) if the conjugate…

A: Standard form of equation of hyperbola.

Q: Find an equation for the hyperbola that satisfies the given conditions. Foci: (+11, 0), vertices:…

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Q: Find an equation for the hyperbola whose transverse axis is horizontal, with center at (2, -2) and…

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Q: Find the equation of the hyperbola with center at (-3,3); transverse axis parallel to y-axis; length…

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Q: What equation is used to find the foci of a hyperbola?

A: The hyperbola which is having transverse axis along x-axis is given by x-h2a2-y-k2b2=1 where h,k is…

Q: The parabola has focus (0,-2) and directrix y=2.

A: equation of parabola with focus ( a , b ) and y = c  is given as below : here a = 0 b = -2  c = 2

Q: Find an equation for the hyperbola that satisfies the given conditions Foci: (+5, 0), vertices: (±3,…

A: Given (5,0)=(h+c,k)    hence k = 0(-5,0)=(h-c,k)h+c=5h-c=-52h=0h=0Therefore (h,k)=(0,0)

Q: what is the equation of a hyperbola with major axis parallel to the y axis?

A: Equation of hyperbola

Q: Find the equation of the hyperbola. Foci at (3, 6) and (7, 6), and vertex at (6, 6)

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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: Write the standard form of an equation of a parabola with focus (1, 6) and directrix y = −2.

A: Given that focus and directrix of parabola.Find the equation of prabola in standard form.

Q: Find an equation for the hyperbola whose transverse axiS is horizontal, with center at (6, -3) and…

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Q: What is the geometric interpretation of b/a in the equation of a hyperbola in standard position?

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