Determine the type of conic, angle of rotation needed to eliminate the XY-term to the nearest degree and the rotation of axis  equation needed to eliminate the XY-term  25x2 -120xy + 144y2 - 156x -65y = 0

Q: hyperbola, vertices (±3, 0), foci (±6, 0)

A: Equation of hyperbola :x2a2 - y2b2 =1 , when vertices is on the x-axis.

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

A: Given:

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: Find a polar equation of the conic with its focus at the pol Conic: Parabola, Vertex or vertices:…

A:

Q: Sketch the conic section 9x² +4y² 36x + 8y + 4 = 0 Be sure to identify any of the following items…

A:

Q: Determine the equation of a conic section...(Hyperbola) Given: center (-9, 1) distance between F1…

A: Given: center (-9, 1) distance between F1 and F2 = 20 units distance between CV1 and CV2 = 4 units…

Q: Use a translation of axes to put the conic in standard position. Identify the graph, give its…

A: Rearrange the terms to get the standard form

Q: b) Find an equation for the conic that has center at (0, 0); major and minor axes along the…

A:

Q: Find the equation of the conic of major axis on the x-axis, the center at (0,0) passing through (2,…

A:

Q: Identify the conic represented by equation without using a rotation of axes.

A:

Q: Identify the conic represented by equation without using a rotation of axes.

A: Identify the conic represented by equation without using a rotation of axes.

Q: 2. Put the equation in standard form to determine the conic form, then sketch a graph indicating the…

A:

Q: 1. What conic section will be derived from these equations and draw the curve: a. 4x2 + 4y2 – 20x +…

A:

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

A: 8x2+7y2=1⇒x218+y217=1⇒x21222+y2172=1 Now comparing with x2b2+y2a2=1, we get a=17  &  b=122 Now…

Q: Identify the conic section represented by the equation by rotating axes to place the conic in…

A: Consider the given equation.

Q: 2. Find the required information and graph the conic section: y= 2x - 8x+4 Classify the conic…

A: Consider the given conic section y=2x2-8x+4

Q: 3. How can you determine the type of conic section represented by an equation in general form?

A: the general form of the equation of conic sectionis Ax2+Bxy+Cy2+Dx+Ey+F=0

Q: -9 81 -2 9 8 7 6 Which best represents the equation of the graphed conic section?

A:

Q: Identify the conic section given the general form of its equation: 26x2-5y2-61x +361y-1072=0 a.…

A: 26x2-5y2-61x+361y-1072 = 0 is the given equation.

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: 18 Identify the center of the conic section whose equation is 5x 2 + 9y 2 - 80x + 54y + 221 = 0…

A: Solution is here

Q: Determine the type of conic: 16. 2x2-4xy + 8y2 +7 = 0 17. 2xy-x + y-3 = 0 %3D %3D

A: The general equation of conics is given as Ax2+Bxy+Cy2+Dx+Ey+F=0, where A,B,C,D,E and F are real…

Q: Find an equation for the conic that satisfies the given conditions. parabola, vertex (1, 2),…

A: Use equation of parabola and pass through point

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

A:

Q: 2. a) Identify the conic, write in standard form and graph it: 16x? + 4y² – 64x – 24y + 36 = 0. b)…

A: a) Given: 16x2+4y2-64x-24y+36=0   To find: Standard equation of conic curve and graph it.

Q: Identify the type of conic from the discriminant.* x²+2xy +y² + /2x-/2y-2=0, 6=45° ANSWER: BIlank 1…

A: Given problem Given that   General equation of the conic : Ax2+Bxy+Cy2+Dx+Ey+F =0 Discriminant is…

Q: The conic section whose equation is 3x 2 - y 2 - 27 = 0 has a latus rectum equal to 9 18 6

A: Given:  Conic section : 3x2-y2-27=0  To find latus rectum

Q: 4. 6리2x+6y-244-6-O

A: Given conic:                           6x2 - 12x + 6y2 - 24y - 6 = 0              =>        x2 +…

Q: 3 Determine what kind of conic is represented by the equation r = 1-3sine

A:

Q: Find an equation for the conic that satisfies the given conditions. Hyperbola, foci (0, 2), vertices…

A: Given;  Foci (0,2) (0,-2) Vertices (0,1) (0,-1).

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: Find an equation for the conic that satisfies the given conditions. parabola, vertex (1, 2),…

A:

Q: Find the standard form of the equation of the conic section satisfying the given conditions:…

A: The focii of the  hyperbola are (0, -10), (0, 10). The vertices of the  hyperbola are (0, -7), (0,…

Q: 9. How can you determine the type of conic section represented by an equation in general form?

A: How can you determine the type of conic section represented by an equation in general form ?

Q: Determine the equation of the given conic in XY-coordinates when the coordinate axes are rotated…

A: Given: The equation of the conic is given as, And the indicated angle is given as,

Q: Identify the type of conic section whose equation is given. 3x2 = y + 3

A:

Q: Find the equation of the following conic in GENERAL form. V (3, -2), ends of latus rectum (-2, ½)…

A:

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: Determine the equation (both standard and general) of the following conic sections based on the…

A:

Q: (a) What does the equation x² – 4x – y + 8 = 0 represent in conic section? Sketch the conic section…

A: Given equation is: x^2 - 4x - y + 8 = 0 x^2 - 4x + 4 = y - 8 + 4 (x - 2)^2 = y - 4 (x - 2)^2 = 4 .…

Q: 2. Rotate the coordinate axes to remove the xy-term. Then identify the type of conic and sketch its…

A: (2)  (a) the given equation is x2+4xy-2y2-6=0. Task: To rotate coordinate axes to remove the x-y…

Q: (b) Show that the equation r² – 4x + 4y2 – 12 = 0 represents a conic section. Sketch the conic…

A: To show: The equation x2 – 4x + 4y2 – 12 = 0 represents a conic section.Proof:

Q: Consider the conic (a hyperbola) of equation 7x – 6xy – 7y² + 13x + 25y – 60 = 0 whose graph is…

A: We have to find the equation of the tangent lines to the hyperbola at the given point.

Q: Determine the equation of the given conic in XY-coordinates when the coordinate axes are rotated…

A: Given data:     The given equation is: x2-3y2=6 The given angle is φ=60°.     The expression for the…

Q: Find an equation for the conic that satisfies the given conditions. hyperbola, foci (2, 0), (2, 12),…

A:

Q: Find an equation of the conic section that satisfies the given condition- Find an equation of the…

A: Explanation of the answer is as follows

Q: Identify the conic section whose equation in standard form is x 2 + 2y 2 - 3x + 8y = 10. ellipse…

A:

Q: Use the Principal Axes Theorem to perform a rotation of axes to eliminate the xy-term in the…

A: