be the equation 12x2 + 12x y + 7y2 − 4x + 6y − 1 = 0. a)  Determine the nature of the conic. b) Find the angle that eliminates the mixed term

Q: etermine which conic is the one whose general equation has only one term raised to the square, that…

A: Given:

Q: Find the center, foci, vertices, asymptotes, and radius, as appropriate,of the conic sections x2 +…

A:

Q: The graphs of the conics intersect at two points. x² + y? = 9 = 1 4 What are the coordinates of…

A: To find the points of intersection ,first we find y2 from the two given equations and by  equating…

Q: 5, Rearrange the equation 4x² + 20x = 6y + 36y + 5 into the standard fo %3D hyperbola.

A: Given query is to find write the standard form of hyperbola.

Q: Identify the conic represented by the equation y2 + 4x + 2y - 15 = 0 without completing the square.

A: to identify the conic represented by the equation  y2+4x+2y-15=0

Q: Which of the following conics has an eccentricity greater than 1? * 9x² + 16y² 36x +96y +36 = 0…

A: The eccentricities of conic sections are as follows. For circle e=0 For parabola e=1 For ellipse…

Q: Identify the following conic section, find its vertices (or vertex), and its foci (or focus). Sketch…

A: 3x2=2y2+8y+18x-37⇒3x2-2y2-8y-18x=-37⇒3x2-18x-2y2+8y=-37⇒3x2-6x-2y2+4y=-37⇒3x2-6x+9-2y2+4y+4=-37+27-8…

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

A:

Q: Trace the conic section 17x 12xy + 8y + 46x – 28y + 17 = 0 and find all of its properties. Also…

A:

Q: Determine the type of conic section, give its equation, and clearly graph with coordinates: 9x2 +…

A: According to the given information it is required to determine the type of conic section and graph…

Q: Find the largest and smallest distances from the origin to the conic whose equation is 5x2 − 6xy +…

A: To find the largest and smallest distances from the origin to the conic whose equation is 5x2 − 6xy…

Q: Which conic section is represented by the equation 9x2 + 4y = 36- O Circle O Hyperbola O Ellipse…

A: Given equation is 9x2+4y2=36............(1)

Q: Find the center, foci, vertices, asymptotes, and radius, as appropriate, of the conic section y2 -…

A: y2-4x2+16x=24 On simplification, we get…

Q: Identify the conic represented by equation 4x2 - 9y2 - 8x + 12y - 144 = 0 without completing the…

A: Given 4x2 - 9y2 - 8x + 12y - 144 = 0

Q: 1- Sketch the following conic sections: a 0 2 -4y+8 -4x2 =

A: We have to sketch the following conic section

Q: Which figure represents a three-dimensional solid with only one face?

A:

Q: Identify the conic represented by the equation x2 + 16y2 - 160y + 384=0 without completing the…

A: we know that equation ax2+by2+2gx+2fy+2hxy+c=0 will represent  ellipse, if h2<ab,…

Q: Find the center, foci, vertices, asymptotes, and radius, as appropriate, of the conic section......…

A: Given, x2 + 2x + 4y - 3 = 0

Q: Determine the type of conics for each equation using the discriminant. 24. 4x2+y2 +24x-4y+36 = 0 25.…

A:

Q: Name the type of conic section defined by the following equation and give a parametrization of it:…

A: We know general equation of circle is given by  center at (a, b) of radius r is given by (x-a) ^2…

Q: The angle of rotation is 18.485 of the conic section with equation Ax- Bxy +Cy 4, if A=C- 20 and B+C…

A:

Q: The ratio of the major axis to the minor axis of the ellipse 9x2 + 4y2 – 24 y – 72x – 144 = 0 is %3D…

A: Solution is here

Q: In each part, rotate the solid figure about the origin exactly onto the dashed figure. If this is…

A: We want to check whether we get the dashed figure on rotating the given figure marked in blue…

Q: If a conic has rmin = 9 and rmax = 17 , find the eccentricity and semi-major axis.

A: Answer is mentioned below

Q: Identify the conic section given by the following equation. æ? + 30x – 4y? – 168y – 1639 - Select…

A: Please refer the attached image for complete solution.

Q: Identify the conic sections represented by the following formula a) 2x^2– 8xy + 4x = 12 b) x^2 +…

A: Given query is to find the equations which represents conic (circle).

Q: The length of the major axis of the cllipse with center (-4, 1), minor axis parallel to the y-axis…

A: Equation of ellipse with center (-4,1) is given by

Q: Identify the conic sections below by completing the square on z and y to place them in standard…

A: The given equation is a) 4x2+3y2+8x-24y+40=0

Q: 4. Classify the following conics as a circle, parabola, ellipse or hyperbola and explain why. a) 9x?…

A:

Q: What is the length of the transverse axis of the hyperbola whose foci are (0, -5) and (0,5), and…

A:

Q: Identify the type of conic section whose equation is given and find the vertices and foci. y? – 2 =…

A:

Q: Identify the conic sections represented by the following formula a) 2x2 – 8xy + 4x = 12 b) x? + y -…

A: General form of any conic is given as- ax2+2hxy+by2+2gx+2fy+c=0—(1) We need to identify the conic…

Q: Determine the length of the latus rectum and distance between the foci of the conic section: 16x^2…

A:

Q: What is the length of the transverse axis of the hyperbola whose foci are (0,-5) and (0,5), and…

A:

Q: What does the eccentricity reveals about the conic?

A: We have to define what eccentricity reveals about the conic

Q: Find the focus, equation of the directrices, lengths of major axis, minor axis and focal diameters,…

A: Please see the explanation below

Q: 1) Be the equation:      4x^2 − 24x y + 11y^2 + 56x − 58y + 95 = 0. 1a) Determine the nature of…

A:

Q: Determine the type of conics for each equation using the discriminant. 20. 5x2 + 2x + 3y - 5 = 0 21.…

A:

Q: Sketch the conic sections. Indicate the foci, and show your work: A) 4x2+3y2+8x-6y=5 B)…

A: A)Given equation is,

Q: What is the relation of the conic section to the perfume container?

A: Common Parts of Conic Sections While each type of conic section looks very different, they have some…

Q: In the conic section r2 36y, what is the distance between the focus and the center? %3D 0 6 O 12 O…

A:

Q: Identify the conic represented by equation y2 + 4x + 2y - 15 = 0 without completing the square.

A: y2+4x+2y-15=0

Q: What is the length of the transverse axis of the hyperbola whose foci are (0, -5) and (0,5) , and…

A: The foci of Hyperbola are:   (0, -5)  and  (0, 5). Length of transverse axis of Hyperbola is:  2a…

Q: The ratio of the major axis to the minor axis of the ellipse 9x2 + 4y2 – 24 y – 72x – 144 = 0 is O…

A:

Q: What is the distance from the center to the foci of the ellipse given by (2-3) (y+5) 26 1? 10

A: Please refer the attached image for complete solution. THANK YOU.

Q: Which of the following conic sections could be formed when a plane intersects both cones of a double…

A: Given.

Q: (a) What is the eccentricity of a conic section?

A:

Q: Find the center, foci, vertices, asymptotes, and radius, as appropriate,of the conic sections x2 +…

A: Ellipse standard equation: x-h2a2+y-k2b2=1 is the ellipse standard equation with center h,k and a, b…

Q: Which conic section is represented by the equation 9x2+4y2=36

A: Simple conic section problem......