Calculate the equation of the system of conic sections with basic points A(1,2); B(2,0); C(-1,1); D(0,3). Ans. k(-4 x² + y² + 2xz-7yz+12 z²)+1(-3x² + 4xy + 4y²-3xz-18 yz+18 z²) = 0

Q: Q14: Use the properties of diagonalization of matrices to identify the given conic section:…

A: Given an equation for a conic section: Q: .One can write this equation in matrix form as .Let…

Q: Find the equation of the conic in the rotated system that eliminates the cross-product term and find…

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Q: section

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Q: (x − 6)²(y+3)² + 36 25 = 1

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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

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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: Graph the conic section 2x² - 12x - y² + 6y+26=0 by completing the square.

A: The given equation is .The aim is to sketch the graph of the conic section.

Q: 6. Find the equations of the asymptotes for the conic 25x²-150x-16y²-64y-239=0

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Q: Solve the components of the given equation of conic sections and sketch the graph: а. 9y? — 4x2 +…

A: In this question we have to solve the following question.

Q: Match the description of the conic with its standard equation. Hyperbola with vertical transverse…

A: We have to identify the standard equation of a hyperbola with vertical transverse axis. Let h,k be…

Q: Find a rational point on the plane conic 2x2+y? = 6 other than the points (+1,±2). Show all your…

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Q: Q.9: Classify and find the standard equation of the conic section 4x² +9y² + 36y-16x + 16 = 0, then…

A: Given

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: (b) Find for what value of the equation 12x²+36xy + y² + 6x + 6y + 3 = 0 represents a pair of…

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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: 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: Find the equation of the hyperbola with vertices at (-4,2) and (0,2) and foci at (-5,2) and (1,2).…

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Q: Rewrite the equation in a rotated x′y′​-system without an x′y′​-term. Use the appropriate rotation…

A: Consider the given equationx2+xy+y2-19=0.the general form of cartesian conic equation…

Q: 42 - 8r - 16,

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Q: The vertex of the parabola given by the equation x2 = 20 y is O (0,0) O (4,5) O (0,5) O (4,0)

A: Vertex of the parabola

Q: Write the equation in standard form, identify the conic and the location of its center or vertex:…

A: We have to find the equation of the conic.

Q: 4. 3x2 +6x+ 4y = 18 5. 7x2 +3y2 – 14x + 12y = -14 6. -4x2 + 3y² + 24x – 12y = 36 %3D %3D %3D

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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: O Reduce the equation x + 2ry +y +4 V2x - 4V2y = 0 to the standard form and hence %3D identify the…

A: The given equation is x2+2xy+y2+42x-42y=0

Q: Find the center of the ellipse 16x² +9y² - 64x - 54y + 1 = 0 (a)_(-2, 3) (b) (-2, -3) (c)_(2, -3)…

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Q: 11x2-7y2-66x-28y-6=0 standard form of hyperbola

A: Given    standard form of Hyperbola

Q: Consider the conic section described by the equation 6x^2 -4xy +9y^2 -20x-10y-5. Find the associated…

A: Consider the given equation of conic section, 6x2-4xy+9y2-20x-10y-5=0 The associated quadratic form…

Q: The center of the hyperbola 25x² – y + 150x – 6y+191=0 is %3D A (-3,-3) B (3,-3) (3,3) D (-3,3)

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