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

Q: Find the standard equation of the hyperbola. Two corners of auxiliary rectangle at (−4 ,−7) and (0…

A: Given: The two corners of the auxiliary rectangle of a hyperbola are at -4,-7 and 0,0 and transverse…

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

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Q: Find an equation for parabola with vertex  (−1,3) and directrix x=−4.

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Q: Find the standard form equation for the hyperbola with vertices (0,12), (0,-12) and foci (0,13),…

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

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Q: Find the equation of the hyperbola with vertices (- 2, 1) and (6, 1) and foci (- 3, 1) and (7, 1) .

A: First we find centre.

Q: Find an equation of the parabola with vertex (-1, 3) and directrix y = -3. ローロ

A: Topic:- parabola equation

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

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Q: Write the equation in standard form of the conic with the given characteristics: Hyperbola: vertices…

A: Write the equation in standard form of the conic with the given characteristics: Hyperbola: vertices…

Q: Find an equation of the hyperbola having foci at (8,-5) and (12,-5) and vertices at (9,-5) and…

A: Formula used:Since in foci and vertices have common y value so the hyperbola having horizontal…

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

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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).…

Q: What is the equation of the hyperbola with Foci at (5, 0) and (-5, 0) and conjugate axis of length…

A: Use basic concept of hyperbola

Q: What is the standard form equation of the hyperbola that has vertices (0,±1) and foci (0,±5)?

A: If the transverse axis on the y-axis , then equation of hyperbola is…

Q: Find an equation of the sphere that passes through the point (6, –2, 3) and has center (-1, 2, 1).

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

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Q: Write the equation of the hyperbola that has a center at (2, – 4), a focus at ( – 2, – 4), and a…

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

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Q: Write the equation in standard form of the conic with the given characteristics: circle: diameter…

A: We find the center of the circle by finding the midpoint of P(-4,-3) and Q(-10,5)

Q: Write the standard equation for the hyperbola with the given characteristics   center: (-1,-3);…

A: Here we have to find the standard equation for the hyperbola with the given characteristics  center:…

Q: Determine the standard form of equation of a hyperbola with center at (-2,1), distance from the…

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Q: Find the equation of a parabola whose latus rectum is joined by points (2, 1) and (-4, 1)

A: Use equation of parabola

Q: Find an equation of the hyperbola having foci at (-5, -9) and (-5, 11) and vertices at (-5, -4) and…

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Q: Write an equation of an hyperbola With a foci at (0, -4/5), (0, 4/5) and vertices at (0, -4) and (0,…

A: NOTE: Refresh your page if you can't see any equations. . given vertices are here midpoint of these…

Q: Which is the equation of a hyperbola with directrices at x = ±2 and foci at (5, 0) and (−5, 0)?

A: We need to find equation o hyperbola.

Q: Find the standard equation of the hyperbola that satisfies the conditions Center (0 ,5), one corner…

A: The equation of hyperbola with center ( h , k ) and the conjugate axis, vertical is as follows.…

Q: 13.2y – x = 4

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Q: Which is the equation of a hyperbola with directrices at x = ±2 and foci at (4, 0) and (−4, 0)?

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Q: Find the equation of a parabola that has a vertex of (7, -4) and contains the point (0, 94),…

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Q: Why are 9x^2-81y^2=0 and 9x^2-(z^2/4)=0 hyperbolas that pass through the origin and not lines that…

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Q: Write an equation for the hyperbola with vertices at (-4,0), (4,0) and passing through (20,1).

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Q: What is the length of the conjugate axis of the hyperbola (x^(2))/(16)-(y^(2))/(4)=1?

A: General form of hyperbola   x2a2-y2b2=1  Therefore the length of the Conjugate axis =2b…

Q: Find an equation of the sphere that passes through the point (8, 1, -5) and has center (5, 6, 3).

A: The objective of the question is determine the question of sphere .

Q: 15. 20y - 3 - 40y + 12x = 52

A:

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

A: Given: The characteristics of the hyperbola, Vertices: 3,-2, 3,-6 which passes through the point…

Q: Find the equation of the hyperbola with vertices (-4,7) and (-4, –9) and foci (-4, 8) and (-4, –10).…

A: A detailed solution is given below.

Q: Find the points on the ellipse  3x2 + y2 = 3  that are farthest away from the point (−1, 0).

A: Given 3x2+y2=3

Q: Find an equation of the sphere that passes through the point (7, 5, -3) and has center (5, 8, 1).

A:

Q: Find the points on the ellipse 4x2 + y2 = 4 that are farthest away from the point (1, 0). (х, у) %3…

A: The distance between of two-points: - The length of the line segment connecting two places is the…

Q: 2) WHAT ARE THE STANDARD EQUATIONS OFA HYPERBOLA WITH A HORIZONTAL TRANSVERSE AXIS AND OF A…

A: Solution is given as below:

Q: What is the equation of the parabola with vertex (1, –11) and that passes through (–4, 64)?

A:

Q: Find the equation of a parabola that has a vertex of (2, -4) and contains the point (1, -7).…

A: Given  Vertex of parabola (2,-4)  And contains the points (1,-7)

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

A: Since, the foci of the given hyperbola are F′(0,0​) and F(0,4​) which lie on the X-axis and…

Q: Find an equation of the hyperbola having foci at (-2,-10) and (-2, 4) and vertices at (-2,-4) and…

A: Given:   Foci: (−2,−10) , (−2,−10)   Vertices: (−2,−4)  , (−2,−4)

Q: Sketch and write the equation of the hyperbola whose foci are (-5, 2) and (3,2), and which has a…

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Q: Suppose the axis of a parabola is parallel to the yy-axis and passing through the points (0,3),…

A: Given that, the axis of a parabola is parallel to the y-axis. Let the Vertex of the parabola (h, k)…

Q: Find the equation of the hyperbola with vertices (-2, 1) and (6, 1) and foci (-3, 1) and (7, 1).

A: Vertices of hyperbola = -2, 1 and 6,1 Foci of hyperbola = -3, 1 and 7, 1