For which values of a does the conic 3x^2 + 2y^2 − 16y + 12x =a, have at least one point?

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

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Q: Identify the graph of the nondegenerate conic sections: 4x2 - 25y2 - 24x + 250y - 489 = 0.

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

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

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

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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: Write an orthogonal change of coordinates converting the equation of the conic 3x2+3y +3z+2ry+2rz…

A: Given equation , 3x² + 3y² + 3z² + 2xy + 2xz+2yz = 1

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

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Q: What specific (include direction/opening and vertex/center) conic section is 4x + y + 72x + 14y +…

A: topic- algebra

Q: What is the area of the conic (x + 3) + y 25

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Q: Find an equation for the conic whose graph is shown. y

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Q: Write a step-by-step procedure on how to classify conic sections given their equation in general…

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Q: Write the equation of a conic given by x2 – 9y2 + 2x- 54y-80=0 in standard form. (x+ 1)² (y+3)? 162…

A: The objective is to write the equation of conic in standard form.

Q: Find the largest and smallest distances from the origin to the conic whose equation is 5x2 − 6xy +…

A: To find the largest and smallest distances from the origin to the conic whose equation is 5x2 − 6xy…

Q: Identify the conic represented by equation 4x2 - 9y2 - 8x + 12y - 144 = 0 without completing the…

A: Given 4x2 - 9y2 - 8x + 12y - 144 = 0

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: How are the conics described in terms of a fixed point and a fixed line?

A: We need to describe the definition of conics in terms of a fixed point and fixed line.

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: Write the equation of the conic section in standard fc 14. 7x2 + 5y2 =70

A: To write the equation of the Conic section in standard form 7x²+5y²=70

Q: Classify the conic first, and then conv equation to standard form

A: The equation of given conic is -2x2+5y2+24x-20y-102=0 ......................(1)             Compare…

Q: Explain what is the relation to the conic section of the given object.

A: A conic section (or simply conic) is a curve obtained as the intersection of the surface of a cone…

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

A: Given, The equation is 6x2 - 4xy + 9y2 -20x -10y - 5 = 0.

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

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Q: Example 4: Obtain the differential equation of the family of ellipses whose axes coincide with…

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Q: 18 Identify the center of the conic section whose equation is 5x 2 + 9y 2 - 80x + 54y + 221 = 0…

A: Solution is here

Q: 8. Find the equation of the conic whose focus is (4, -5) and directrix is x = -2.

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Q: Standardize the conic with the equation 7x2+4xy+4y2--2x-6y+1=0

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

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Q: What kind of conic section (or pair of straight lines) is given by the quadratic form Q(x1, x2) = x…

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Q: Explain what is the relation to the conic section

A: A conic section (or simply conic) is a curve obtained as the intersection of the surface of a cone…

Q: Sketch the three basic conic sections in standard position with vertices and foci on the x-axis.

A: Sketch the three basic conic sections in standard position with vertices and foci on the x-axis.

Q: Identify the graph of non-degenerate conic whose equation is: x2-8x-12y=44

A: Explained below

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: Find an equation in rectangular coordinates of the conic r = 16/5 + 3 cos θ

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

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Q: Identify the type of conic section whose equation is given. 3x2 = y + 3

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

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Q: Identify and sketch the conic defined by x2 - 2xy+ y² – x – y=0.

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Q: Identify the conic represented by equation 16x2 + 64x + 9y2 - 54y + 1 = 0 without completing the…

A: A non degenerate conic section of the form Ax2 + Cy2 + Dx + Ey + F = 0,                 ----(i)…

Q: Which conic section is represented by the equation 2x2 + 4x - y+9= 0?

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Q: Determine the type of conics for each equation using the discriminant. 20. 5x2 + 2x + 3y - 5 = 0 21.…

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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,…

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Q: 10. 25x2 - 9y2 = 144           11. x2 + y2 = 225           12. x2 + 3y2 = 3

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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 with th e given equa­tion and give its equation in standard form…

A: Given, 2xy+22x-1=0 Conic section general formula Ax2+Bxy+Cy2+Dx+Ey+F=0 B2-4AC>0→Hyperbola or 2…

Q: Write the equation of a conic given by 8x² + 8y² – 16x + 48y+ 10 =0 in standard form. A (x- 1)² +…

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Q: Find an equation for the conic whose graph is shown:

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