A. Find the general equation of the conic with the given properties. A hyperbola with foci at (4- √5,0) and (4+ √5,0), x-intercept 6, and y-intercept √3

Q: Find the equation of the given hyperbola with Vertices (±3, 0) and foci (±5, 0)

A: Given: Vertices (±3, 0) and foci (±5, 0)

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

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Q: Which is the standard equation of the hyperbola centered at the origin, with a vertical transverse…

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Q: Q.9: Classify and find the standard equation of the conic section 4x² +9y² + 36y-16x + 16 = 0, then…

A: Given

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: (y+1)? (x-2)2 2.Find the standard equation of the hyperbola whose standard equation is 9. %3D 16

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Q: Find an equation for the conic section with the given properties. The hyperbola with foci F1(3, -5)…

A: We have to find the equation of the conic section.

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: 10. Two corners of auxiliary rectangle at (-4,-7) and (0,0), vertical transverse axis

A: The diagram of the hyperbola having given conditions is shown below. Calculate the center of the…

Q: Find the standard equation of the hyperbola having vertices at (0,plus or minus 3) and foci at…

A: We know, if the vertices and foci are on the y-axis then the standard equation of the hyperbola is…

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: Write the equation of the parabola with focus at (3,5) and directrix y = 3.

A: First I have written a formula of parabola with given focus and directrix, just use the formula for…