if B-4AC= 0, a(n) A nondegenerate conic section of the form Ax“ + Bxy + Cy + Dx + Ey + F= 0 is a(n) if B? or a(n) if B- 4AC< 0, an - 4AC > 0. A nondegenerate conic section of the form Ax + Bxy + Cy + Dx + Ey +F=0 is a(n). ▼ if B - 4AC = 0, a(n) V or a(n) V if B- 4AC and a(n) ▼ if B - 4AC> 0.

Q: EXAMPLE 7 Sketch the conic below and find its foci. 25x²9y²-150x + 36y + 414 = 0 SOLUTION We…

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Q: The vertex of the parabola f(x)= x2 + 16x + 6 is 0(-16,-40) O (-8,-52) O (-24,-58) O (-16,-58) O…

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Q: 1) 3) (x-3)² (v-4)² + 16 196 (x + 1)² (y-8)² + 9 81 = 1 = 1

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Q: (x + 1)² (y-8)² (v-8)² = 1 - + 9 81

A: Given query is to find the conic form.

Q: 10) (x + 7)²_ (y + 4)² = 1 + 81 36

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Q: f.) x (y + 2) = 2(2x + 1) 2(2x + 1) y = mx + b form: Graph th

A: Given: To find:To write the above equation in  form.To draw the graph of the equation.

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: Show that the equation 7x^2 + 48xy -7y^2 + 20x -110y -50 = 0 is a hyperbola using the matrix method…

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

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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

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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: 7. Write the equation of the ellipse with a minor axis length of 8 units and foci at (-7, 4) and…

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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: If all conics are defined in terms of a fixed point and a fixed line, how can you tell one kind of…

A: Solution: We have Conics: It is a locus of a point that moves in a plane, such that a ratio of its…

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: 1. Find the equation of the conic whose only vertex has coordinates (-1/2,1) and passes through the…

A: Since the conic has only one vertex it is a parabola. This idea will be used to solve the problem.…

Q: For Exercises 5-8, the given equation represents a conic section (nondegenerative case). Identify…

A: Consider the given equation as 8x2-2y2-3x+2y-6=0

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: 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: Determine the conic section created with the equation 2x^(2)+4xy+5y^(2)+3x-4y-20=0.

A: Equation :2x2+4xy+5y2+3x-4y-20=0

Q: idleutify the conic Seetion from the equeition:. (1) 16y-an-36n –-964-36-0 2 () n* +y" -ux +loy-7 =0…

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Q: 1) Identify the conic sections and graph: a) (x-5)^2/100-(y+3)^2/64=1 b) (x+7)^2/5^2+(y+3)^2/3^2=1

A: On comparing with the standard form x-h2a2+y-k2b2=1 The given equation is a ellipse with center (h,…

Q: The equations of asymptotes of the hyperbola 25 ( y -2)² - 16 ( x - 2 )² = 400 are Select one: None…

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Q: The vertex of the parabola f («) — г? + 10х + 4 is о (-15, —21) о (-10, —15) (-5, –17) (-10, –21)…

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Q: (x + 6)2, y2 = 1 26 13 x² + y? = 9

A: Given. (X+6)²/26 +y²/13 = 1 X² +y² =9 We can solve the conics by algebraic mathod.

Q: 59-62 - Graphing Shifted Conics Use a graphing device to graph the conic. 59. 2x - 4x + y + 5 = 0…

A: SolutionUse graphing device to graph the conic59, 2x2-4x+y+5=060. 4x2+9y2-36y=061.…

Q: 4x² – 25y² – 24x+250y+ v² –11x+5y-3=0 13. 14.

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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: CP Algebra 2 B-GHCHS 20-21/Module 9: Conic Sections 5. Which is the standard form of the parabola y…

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Q: 16. Which equation represents the given parabola?

A: We want to find the equation of given parabola.

Q: x² – 9y2 : -9y2 = 13 x² + y² = 53 %3D

A: Given,

Q: Direction: without transforming each general equation into the Standard form, identify the of conics…

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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: 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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