Find the largest and smallest distances from the origin to the conic whose equation is 5x2 − 6xy + 5y2 − 32 = 0 and hence determine the lengths of the semiaxes of this conic.

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: Identify the conic 9x2 – 4y² – 18x + 24y + 9 = 0. Determine the foci, center and end points of the…

A: Identify the conic 9x2-4y2-18x+24y+9=0 Determine the foci, center, and endpoints of the major and…

Q: Rewrite to standard form by completing the square and identify the conic: a) x² +16y² - 10x +96y +…

A:

Q: Determine the type of conic, angle of rotation needed to eliminate the XY-term to the nearest degree…

A:

Q: What specific (include direction/opening and vertex/center) conic section is 4x + y + 72x + 14y +…

A: topic- algebra

Q: 3. Find the vertex, focus, and equation of the directrix for the conic given by (x + 1)² = -20(y -…

A: We have to find focus, vertex and equation of directrix.

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 equations of the following conics and quadric surfaces relative to principal axes. 3x² +…

A: The answer provided below has been developed in a clear step by step manner

Q: Classify the conic first, and then conv equation to standard form

A: The equation of given conic is -2x2+5y2+24x-20y-102=0 ......................(1)             Compare…

Q: 8. Find the equation of the conic whose focus is (4, -5) and directrix is x = -2.

A:

Q: 42 - 8r - 16,

A: