7. Calculate the real values of m such that the following conic section is degenerated x² - 4 xy + 2y²-5y-m x + 2 = 0. Ans. m = +- 3/2 (2)^1/2-5

Q: - Calculate 64x²+16y² dx dy, where D is the interior of the ellipse ()² + (½)² ≤ 1. (Use symbolic…

A: Given,           where D is the interior of the ellipse

Q: 9. Explain in your own words how to decide what kind of conic it is if you have the equation Ax? +…

A:

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

A:

Q: 5) Find the unique quadratic curve (i.e. parabola) which passes through the following three points:…

A: We have to find the unique quadratic curve which passes through the following points:…

Q: y? – 4y + 4x 16 = 0 is the equation of a conic. Write the standard form of that conic. |

A:

Q: (b) The equation 7x2 - 3xy + 5y² + 4x - 16y- 121 = 0 represents a non-degenerate conic. (i)…

A: We have to find the type of conic of given equation

Q: 20) Find the coordinàtes of the foci of the conic x² –10x –16y² – 64y – 55= 0

A: We write the given conic in standard form Then we compare it with the standard equation of a…

Q: Graph the conic section. 36x? - 4y? - 216x +24y + 144 = 0 O A. OB. Oc. OD.

A: Given: 36x2-4y2-216x+24y+144=0

Q: 1. Determine what type of conic the equation 9x² - 4y² + 54x + 16y + 29 = 0, represents, find all…

A:

Q: Q15: A quadratic form is given by; 5x² - 2xy + 5y² = 24. Identify the conic section and illustrate…

A:

Q: 5x 2 − 3xy + 4y 2 − 8x + 10y − 64 = 0 represents a non-degenerate conic Determine the type of…

A: Sign of discriminant i.e. B2-4AC determine the nature of non-degenerate conic.

Q: += -5 +2)² + (y+4)² = 1 81 9 =+2)² + (x+4)² 9 81 C-2)² 9 + (y-4)2 81 ation of this ellipse? = = 1 =…

A: Given query is to find the equation of the ellipse.

Q: Find an equivalent quadratic form by using a diagonal rotation, (by the principle axis theorem. I…

A: Given: Q=2x2+4y2+6yz-4z2=80

Q: Which of the following is a foci of the conic section with the equation ㅇ0,2V5) O 2V3, 0) O2V5, 0)

A: This is standard equation of hyperbola

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…