Determine the equation of the parabola with the directrix z = 3 and focus (0, 7). O y = 8 (z – 5) O 22 = 8 (y – 5) O (v – 7)? = -6 (z – 1.5) O (z - 7)° = -6 (y – 1.5) %3! O (y - 7) - -16z %3D

Q: Write the equation of the hyperbola 25x? – 9y? + 100x + 72y – 269 = 0 in standard form (z – h)? (y –…

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Q: Give the equation of the parabola with focus F (0; 2)  and directrix y = -2 . Give an equation of…

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Q: Find the coordinates of a fourth point so that the four points form the vertices of a rectangle. 64…

A: We have to find the coordinates of the fourth vertex to make it a rectangle.

Q: Determine the focus of the parabola (y + 2)2 = -16(x 3). O(7.2) O(6.3) O (3,-2) O (1-2)

A: We have to find the focus of the given parabola. The solution is following.

Q: Derive the equation of the parabola with a focus at (2, 4) and a directrix of y = 8. 1 O f(x) -(x –…

A: Given query is to find the equation of parabola.

Q: Which of the following points is inside the circle whose equation is (x – 8)? + (y – 5)² = 36 (3,11)…

A: We have to check which points is inside the circle whose equation is  (x - 8)2 + (y - 5)2 = 36 Let ,…

Q: Find an equation for the parabola with focus (0, -4) and directrix y =

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Q: Find the Parabola with Focus (7,-2) and Directrix x=-9

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Q: What is the equation of a parabola with directrix x 3/2 and focus (5/2, 4)? Oy- 5=- Oz-5 = - Oy-5 =…

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Q: Sketch and identify the graph of the equation x² + y² – 2y – 3 = 0 in 3D.

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Q: Find the focus, directrix, vertex and axis of symmetry for the parabola 12(х — 3) — (у — 2)*. Focus…

A: Given: 12x-3=y-22 To Find: Focus, Directrix, Vertex, and axis of Symmetry Concept: If y-k2=4px-h,…

Q: Graph this

A: The objective of the question is to graph the given parabola with the provided parameters: Vertex…

Q: Find an equation of the parabola with focus (-9,-3) and directrix x=-1

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Q: (x + 3)² 64 - - (y – 5)² = 1 - Distance from the center to each focus is:

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Q: (x – 1)? (y – 7)2 = 1 4 16 Distance from the center to each focus is:

A: Solution:Given      (x-1)24-(y-7)16=1To find the distance from the centre to each focus…

Q: Find an equation of the Parabola that has focus 11. (-2,3) and Directrix y = A. (x + 2)² = 4 (y - 7)…

A: Topic:- geometry

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.