2) Foci: (2, –5 + V61), (2, –5 – V61) 20 5 Asymptotes: y ==x- 6 3 y-- 5 10 ソ=ーーX 6 3

Q: 1. Suppose that the equation Ax + Cy + Dx + Ey + F = 0 represents a conic section (nondegenerative…

A: Fill in the blanks

Q: Match conic section with one of these equations: x2/4 + y2/9 = 1, x2/2 + y2 = 1, y2/4 - x2 = 1, x2/4…

A: Given a figure and four equations as follows ;  x24 + y29 = 1        [Equation 1]x22 + y2 = 1…

Q: 15. x2 – 8x + 2y + 10 = 0 Equation:

A:

Q: Write the equation in standard form of the conic with the given characteristics: Hyperbola: vertices…

A: Write the equation in standard form of the conic with the given characteristics: Hyperbola: vertices…

Q: 9. Find equation (in an Rectangular) for the conic that satisfies the given conditions: Parabola…

A:

Q: the type of conic section whose equation is giv x² - 2x + 2y² - 20y + 49 = 0 rabola ipse perbola…

A:

Q: Select the conic section represented by the equation. 7x 2 + 7y 2 + 3x - 5y - 1 = 0 hyperbola…

A:

Q: What is the standard form of the conic defined by x + 2y² – 8y = 0?

A:

Q: 3. Where do the asymptotes intersect for the hyperbola y = ( 2x +3 ) / ( 8x +5 ) O ( 3/8 , 2/5 ) O…

A: Given : Hyperbola y =2x + 38x + 5   To find the asymptotes.

Q: 19. What type of conic section is given by the equation 4x+ 9y = 36? What are its domain and range?…

A: General equation of an ellipse is given by, x2a2+y2b2=1 Domain of a function y=f(x) is the set of…

Q: 12. 9x²-16y -90x+64y+17 = 0 | 2. 250-

A:

Q: 1- Sketch the following conic sections: y2 -4y+8-4x² = 0 %3D a-. .2 b- .2 y-4y-4x =8 a 3(y – 5)2 –…

A: As per our company guidelines, we are supposed to answer only the first three subparts. Kindly…

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

A:

Q: Q.8: ] find the parametrization of the upper half of the conic section 4x² +9y²-24x = 0; with x= -2

A:

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

A: To find the equation of the conic sections with the given conditions

Q: 5. Describe the conic section C whose equation is

A:

Q: 6. y=x(x-2)(x-) plot the conic Curve

A: Given, y =xx-2x-10  We have to plot the curve.

Q: The equatione of aoymptoteo ofthe hyperbola 9 (y-9)2-4(x-7)2= 36 are Select one: O 2(y-9)=+3 (x-7) O…

A:

Q: Select the conic section represented by the equation. 4x 2 - 25y 2 - 8x - 100y - 196 = 0. line…

A: We can answer the question as below.

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: 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: Determine the length of the latus rectum of the following conic section: 16z + 9y? - 64.x- 54y+1 0 O…

A: 16x2+9y2-64x-54y+1=016x2-64x+9y2-54y=-116(x2-4x)+9(y2-6y)=-116(x2-4x+4)+9(y2-6y+9)=-1+64+8116(x-2)2+…

Q: 11. Write the equation of the conic section in standard form. 7x² – 3y² – 70x –12y+142 =0

A:

Q: How do I find the focal points of this conic?  27x2+16y2+324x-96y+684=0

A:

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

A: Ellipse

Q: Identify the conic section and graph. (x+7)^2/5^2+(y+3)^2/3^2=1

A: On simplification, we get Now it is in the form of . Therefore it represents an ellipse.

Q: Show that the “conic section” with equation x2 − 4x + y2 + 5 = 0has no points.

A: Equations for conic sections are obtained as the locus of points following one or a set of…

Q: 1. Suppose that the equation Ar + Cy + Dx + Ey + F = 0 represents a conic section (nondegenerative…

A: Given: Ax2+Cy2+Dx+Ey+F=0.

Q: 1- Sketch the following conic sections: Aa-. y-4y+8- 4x2 -0 b- y2 -4y-4x2 = 8 c- 3(y- s)2 - 7(x +…

A: Since, you have asked multiple questions , we will solve the first question for you. Also, the first…

Q: 2. Suppose that the equation Ax + Bxy + Cy + Dx + Ey + F = 0 represents a conic section…

A: Suppose that the equation Ax2 + Bxy + Cy2 + Dx + Ey + F = 0 represents a conic section…

Q: 3. Find an equation of the hyperbola having foci at (4, 3-V 52) and (4, 3 +/52) and asymptotes at y=…

A: Focii: (4, 3+52) & (4, 3-52)Assymptotes : y=3x2-3 , y=-3x2+9Let vertex by represented by (h,k)…

Q: 1- Sketch the following conic sections: 2-4y+8-4x2- b- y2 -4y-4x2 = 8 C- 3(y-s)2 -7(x+1)2 =1

A: As per our guideline we are allowed to do 1 question or 3 subparts at a time. Please post other…

Q: (b) If the conic is rotated counterclockwise about the origin through an angle 3n/4, write the…

A: If the conic is rotated counterclockwise about the origin through an angle 3π4 then write the…

Q: A general equation of conic section is given as y + 4x + 4(x – 2y) + k =0. Determine the value/s of…

A:

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: 1. Which Is the corresponding equation of a hyperbola with co-vertices at (0, -6) and (0, 6) and a…

A: Given, The co-vertices of the hyperbola are 0, -6 and 0, 6  and transverse axis is 20 units long.…

Q: Find the slope of the line tangent to the conic section 25 (х-2)2 (y-6)2 = 1 at (2,10). 16

A:

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

A:

Q: d the standard form of the equation of the circle, if the center of the circle of radius 3 lies on…

A: Here we have to find the standard equation of the circle if the center of the circle of radius 3…

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: I noticed that depending on the values for A and C,assuming that they are not both zero, the graph…

A: Depending on the values for A and C, assuming that they are not both zero, the graph of Ax2 + Cy2 +…

Q: 11. Find the required information. Then graph the conic section. -9x + 4y? - 18x + 16y – 29 = 0…

A:

Q: 4 Identify the center of the conic section whose equation is x 2 +y 2 + 6x - 4y - 12 = 0. (-6, 4)…

A: The given equation is; x2+y2+6x-4y-12=0   As we know that; The general form of equation of the…

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

A:

Q: What is an equation of a conic with the property that the distance of its points  from point (2,0)…

A: Givenpoint(2,0)line 2x-1=0

Q: Identify the center of the conic section whose equation is 4x 2 - 25y 2 - 8x - 100y - 196 = 0. (-1,…

A: We can identify the center as below.

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

A:

Q: 1 Find an equation of the hyperbola having foci at (5-/45, 0) and (5+/45, 0) and asymptotes at y = 5…

A:

Q: The conic section whose equation is x2 - 3y2 - 8x + 12y + 16 = 0, is ______. centered on the origin…

A: