2) Foci: (2, –5 + V61), (2, –5 – V61) 20 5 Asymptotes: y ==x- 6 3 y-- 5 10 ソ=ーーX 6 3

Q: What type of conic section is defined by the equation x² + 2xy + 3y² +6x + 3y - 1 = 0?

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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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A: As we know that the standard equation of a vertical parabola is: x-h2=ay-k Where the vertex is at…

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: 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: Convert the following equation of a parabola into standard form. Select the correct answer below: O…

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Q: Find the standard form of the equation of the parabola with the given characteristics. vertex: (2,4)…

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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: The parabola shown in the figure has an equation of the form y = ax² + bx + c -5 y 5 (2, 4), -5 -10…

A: The parabola shown in the figure has an equation of the form .The parabola passes through the points…

Q: The conic section with equation 2 9 + y² = 1 is: 16

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Q: (y+1)? (x-2)2 2.Find the standard equation of the hyperbola whose standard equation is 9. %3D 16

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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: 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: The equation of the parabola y' = 4ax is in the standard form. FALSE O TRUE

A: The given equation of parabola is -  y2 = 4ax

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: Convert the following equation of a parabola into standard form. Select the correct answer below: O…

A: We are required to: Change the equation of parabola -2x+y2-2y-1=0 into standard form.

Q: Find the values of integers,, and c that will make the hyperbola -9x² + 4y² + ax +by+c= 0 pass…

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

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Q: Convert each equation to standard form. Then identify what type of conic section (parabola, ellipse,…

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Q: Please help me with these questions. Thank you

A: N/A