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: 6. Write the equation of the following conic in standard form of the following conic eq1 10 11 12 13…

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Q: . Calculate the equation of the system of conic sections with basic points A(1,2); B(2,0); C(-1,1);…

A: NOTE : HI! Thank you for your question . As per guidelines we can solve one question at a time in…

Q: 5. Sketch the graph and find the coordinates of the foci for the conic 4(x+2)² =36-9(y−1)²

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

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

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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: Identify the conic with th e given equa­tion and give its equation in standard form…

A: Given:  A conic of equation 3x2-4xy+3y2-282x+222y+84=0. To Find: The given conic also write it ina…

Q: Here is the equation of a conic section such that the ordered pair (Vx, Vy) corresponds to its…

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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: Select a possible equation for a parabola with a vertex of (-1,3). Oy = (z + 1) (x – 3) | Oy = (z -…

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Q: 12. Consider the quadratic equation az?+bz+c= 0, where a, b and c are real and b2 – 4ac < 0. Suppose…

A: Formula: Quadratic Formula For a quadratic equation ax2+bx+c=0 with a≠0, the roots are given by…

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

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

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

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Q: 21. The tangent line in point P(?,?) of the conic section x² - 4xy-y²+2x-4y-8=0 is x-2y-2=…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

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: 4) Transform the parabolic equations (9)40xxt120xy けy-20x +0こo x+9 (6) e2x Uxx +2e**Jxy+ e®Uyy=O to…

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Q: 31. Calculate the polar line of P(1,1,1) relative to the conic section -3x³-4 xy +5y²+3xz-9yz÷6 z²=…

A: Given information:Two conic sections are given:To find:Identify the basic points of the system.

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: 5. Write the equation of the following conic 12 11 10 4 3 2 -1 3 5 fo 11 12 -1 -2

A: The given conic is the ellipse with  1. Center (8,5)  2. Vertex1: (8,12) 3. Vertex2: (8,-2) 4.…

Q: 10. What's the standard form of the equation of the following hyperbola? 6 5+ 4 3+ 2+ -6-5-4-3-2-1…

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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: Q5: Find the coordinates of vertices of the hyperbola x² – 4y2 – 4x – 8y – 4 = 0 - - (-1,4),(-1,0)…

A: We have to find vertices 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…