The equation of an ellipse is 2x² + 6y² + 6x-8y-6 = 0; determines the values of parameter k for which the lines of the family 5x + 2y + k = 0: a) They cut the ellipse at two different points b) They are tangent to the ellipse c) They do not intersect the ellipse ***

Q: Determine the general form of equation of an ellipse whose standalu (x-2)2 (y+3)2 + = 1. 9 4 1.…

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Q: 20. Find the foci of the ellipse with the following equation: 169 + = 1 25 O F(-5, 0), F2(5, 0) O…

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Q: When I was considering what to do with my $10,000 lottery winnings, my broker suggested that I…

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Q: What is the standard form equation of the ellipse that has vertices (-6, 2) and (4, 2) and…

A: vertex  (-6,2) and  (4,2) co vertex (-1,-2)  and  (-1, 6)

Q: Write the equation of the ellipse 25x² + 16y² + 50x + 64y – 311 = 0 in standard form 2 (x - h)² (y -…

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Q: Write the equation of the ellipse 25x² + 16y² 100x +96y- 156= 0 in standard form (x-h)² (y-k)² a² 62…

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Q: Find the equation of the ellipse in standard form centered with foci located at the (4, -5) and (-8,…

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Q: . If the line 3x+4y=\sqrt{7 } touches the ellipse 3x\power{2}+4y\power{2}=1, then find the point…

A: a.Let the given line touches the ellipse at point P(θ).The equation of the tangent at P is…

Q: The length of the major axis of an ellipse with foci at (-1, 2) and (3, 2) that passes through the…

A: Here we use basic defnition of major axis

Q: 4. Which of the equations below represents this ellipse? 10 5 -5 5 -5- --10

A: Here the Major axis is on the Y axis. And the Minor axis is on x axis. The last option is true.

Q: Write the equation of the parabola with vertex at (-9, 0) and directrix at x = -10 a) + 9 1,2 49 b)…

A: Given

Q: Find an equation of the Ellipse that has Foci (-1,-2) & (7, -2) and vertex (8, -2). (a-3)2 (y+2)? 1…

A: We need to find equation of ellipse.

Q: 26. Find the standard form of the equation of the specified ellipse. Foci: (1, 5), (-3, 5); Major…

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Q: Given an ellipse has foci at (7,-2) and (7,-8) and the endpoints of the minor axis are at (11,-5)…

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Q: Graph the ellipse given by each equation. Find center, foci (focus), vertices, co-vertices. a) 4x² +…

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Q: Identify the equation of the ellipse, as well as the graph of the ellipse that has the following…

A: To find:- Identify the equation of the ellipse, as well as the graph of the ellipse that has the…

Q: Arrange the parabolas represented by the equations according to the positions of their foci on the…

A: The standard form of a parabola is  (x – h)2 = a(y – k) where (h, k) is the vertex.

Q: Find an equation of the ellipse that has center (1, – 2), a minor axis of length 6, and a vertex at…

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Q: The foci of an ellipse E are F, (4, -3) F, (8, -3) A parabola whose vertex is the center of E and…

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Q: Which of the following equations does not represent an ellipse? * x² + 2y² - 16 = 0 Option 1 x² +…

A: topic - equation of ellipse

Q: 16xydx- 24ydy = -8x²dy %3D

A: The given differential equation can be written as:16xy−24yy' =−8x2y' An ODE Mx, y+Nx, yy'=0 is in…

Q: Perform the indicated operation. (303-j19) (j2-1)

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