Find the equation of the Hyperbola whose Foci are at (6,4) and ( 30,4).and the length of its Transverse axis is 12. Select one: O3(x- 18 )2 - (y - 4 ) = 108 03(x+ 18 )2 - (y + 4 )2 = 36 O3(y- 4)2 - (x - 18 )2 = 108 O(x - 18 )2 - 3(y - 4 )² = 108 O None

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A: NOTE: Refresh your page if you can't see any equations. . the standard equation of the hyperbola is…

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Q: Find the equation of the Hyperbola whose Foci are at (6,4) and ( 30,4),and the length of its…

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A: Solution is given below:

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A: As y-coordinate of vertices is 0, transverse axis of the hyperbola is x-axis (y=0)

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A: Option a is correct.

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A: Answer

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Q: 2- Write the equation of hyperbola that pass through point (12, 9) and have F1 (0, 0) and F2 (0, 4)V

A: Consider the given information. y−k2a2−x−h2b2=1 Since we have the given foci at F1(0,0) and F2(0,4).…

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A: Given: Vertex (2,4)

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A: Find the equation of the hyperbola

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A: Notice that the below equation satisfies the given information.

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A: The given hyperbola equation,        4y2-x2=4

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

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A: Graph of parabola :

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A: Given,        Vertices: (±1, 0)    asymptotes: y=±3x

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A: Consider the provided graph,

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Q: 5,2

A: we have to find the equation of the hyperbola with vertices (-4,2) and (0,2) and foci at (-5,2) and…