1- Sketch the following conic sections: Aa-. y-4y+8- 4x2 -0 b- y2 -4y-4x2 = 8 c- 3(y- s)2 - 7(x + 1)? = 1 %3D

Q: Identify the conic 9x2 – 4y² – 18x + 24y + 9 = 0. Determine the foci, center and end points of the…

A: Identify the conic 9x2-4y2-18x+24y+9=0 Determine the foci, center, and endpoints of the major and…

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Q: The :. conic section xy a constant .identify (25+ w2) =D2C+ w is

A: The given equation is xy=2x+5y-25+w2, where w is a constant.   We have to identify the type of the…

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

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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: x* + 2y? - 2x + 8y - 11 = 0 (illpse) x2 = 1 (llyperholu) 36 64

A: Equation of ellipse given is- x2+2y2-2x+8y-11=0 Standard form of this equation can be written as-…

Q: h the following conic sections: y2 -4y +8-4x = 0 %3D

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Q: Classify the following conic section from its standard equation: 2x² + 4xy+ 5y² + 3x - 4y-20 = 0.…

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

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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: Given the conic section 4x^2 - y^2 - 24x - 4y + 28 = 0 do the following:   1. Write the standard…

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Q: Illustrate and explain thoroughly the different types of conic providing your own quadratic equation…

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Q: 3. Find the vertex, focus, and equation of the directrix for the conic given by (x + 1)² = -20(y -…

A: We have to find focus, vertex and equation of directrix.

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

A: Consider the given:…

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

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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: 42 - 8r - 16,

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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: Show that the ellipse 4x + 9y = 45 and the hyperbola x - 4y = 5 are orthogonal %3D

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

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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: (x-10)² (y-2)² + 144 36

A: Given query is to find the general conic form.

Q: what is the standard form of this conic section? 9x^2-4y^2-36x+8y-4=0    a. (x-2)^2 /2- (y-1)^2/9 =1…

A: Given equation is 9x2-4y2-36x+8y-4=0. To find the standard form of the given conic section.…

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

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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: 2. Identify the conic section given by y² + 2y = 4x² + 3 Find its vertex/vertices and focus/foci.

A: We rewrite the equation as: This is an equation of a hyperbola.

Q: 16x^2-9y^2+96x+18y-9=0 -conic? -equation of this conic in the form we used for graphing?

A: Explained below

Q: find the key values for a conic a. y^2 - 8x - 4y + 4 = 0   b. 6x^2 - 4y^2 -12x-8y-22=0   c. x^2…

A: a y2-8x-4y+4=0y2-4y+4-8x=0y-22=8xwhere y=y-2 , a=2which is the general form of a parabolavertex…

Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.