Consider the hyperbola 3x - y´ – 24x + 4y –4 = 0. If foci are (a, b) & (c, d), then (a + b + c + d) is equal to Choose. Length of semi latus rectum is Choose. If center of the hyperbola is (a, b), then a + b is equal to Choose. If ez is eccentricity of its conjugate hyperbola, then 9e is equal to Choose.

Q: What are the vertices and foci of the hyperbola (x - 9)2/25 - (y + 6)2/144 = 1 Show all work.

A: We have to find the vertices and foci of the given hyperbola.

Q: 2. Sketch the hyperbola y² - 2y - 4x² - 8x - 7 = 0. Find its centre, foci, eccentricity, asymptotes,…

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Q: Explain why it is not possible for a hyperbola to have foci at (0, -2) and (0, 2) and vertices at…

A: The standard form of the equation of a hyperbola with center (0,0) and transverse axis on the y-axis…

Q: Determine the coordinates of the foci of the hyperbola 9x² - 4y² - 90x + 189 = 0

A: The given equation of hyperbola          9 x^2 - 4 y^2 - 90 x + 189 = 0 ...............( 1)  First…

Q: Write the standard equation of a hyperbola whose center is at (-3,-5), one 14√11 of its foci is at…

A: Given

Q: 16) Center at (-6, 9) Vertex at (–18, 9) 5 Eccentricity = - 4

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

Q: Find the equation for a conic a. Parabola opening left with vertex (3, -1) and passing through (0,…

A: "Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: Find the coordinates of vertices, foci, eccentricity, latus- rectum and the equations of directrices…

A: We have a equation of hyperbola                         So we have to find the vertices , foci ,…

Q: Identify the coordinates of the vertices and foei for each hyperbola. 25 o V:(-2 + 3,0); F: (-2+4,0)…

A: we have given a hyperbola.  We have to find it's vertices and foci

Q: State whether the equation z - ()² = (+)² defines a hyperboloid of two sheets. an ellipsoid. a…

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Q: Identify a and b for the hyperbola with equation

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Q: What is the equation of the standard hyperbola with vertices at(0, ±a) and foci at (0, ±c)?

A: Given-  Hyperbola with vertices at (0, ±a) and foci at (0, ±c). To find- The standard equation of…

Q: Find the equation of a hyperbola whose vertices are (+2,0) and whose foci are (+5,0). x2 A) 4 = 1 21…

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Q: 10) Center at (-8, -1) Transverse axis is horizontal and 14 units long Conjugate axis is 8 units…

A: we  will find the required.

Q: What are the foci and directrices of the following hyperbola?  36x^2 −49y^2 −100 = 0

A: We have to find the foci and directric of hyperbola

Q: Given the following information about the hyperbola, find both its standard and general form. 1.…

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Q: Given Vertices (0,5) and (0,-5) and Foci (0,8) and (0,-8), find the standard equation of the…

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