Find the locus of the midpoints of a focal chord of the ellipse      \frac{x\power{2}|a\power{2}}+\frac{y\power{2}|b\power{2}}=1.

Q: Find the length of the chord of the ellipse \frac{x\power{2}|25}+\frac{y\power{2}|16}=1  whose…

A: We given that a ellipse  x225+y216=1 with midpoint (1/2 , 2/5 ).   Claim : we have to find the…

Q: Consider the parabola y=ax^2+bx+c, where a, b, and c are constants. (a) Determine the vertex form…

A: (a) Vertex Form of the Parabola:The vertex form of the parabola  is:where (h, k) is the vertex of…

Q: Find lengths of minor and major axis for ellipse that has equation 16x2 + 4y2 = 16

A: Given, 16x2 + 4y2 = 16

Q: use the method of completeing the sqaure to find the vertex of the parabola whose equation is…

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Q: Find the focus and directrix of the parabola with the equation 6y^2+10x=0. Then choose the correct…

A: Given that, the equation of the parabola is 6y2+10x=0 6y2+10x=06y2=-10xy2=-10x6y2=-4512x Compare the…

Q: A parabola is given by the equation y = x^2 - 4x + 6. Find k so the line of equation y = 2x - k does…

A: We have to find the value of k for which the line intersect the parabola at two distinct points. To…

Q: Find an equation of the ellipse having a major axis of length 10 and foci at (-2, 5) and (-2, 1).

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Q: The length of the latus rectum for the ellipse x^2/64 + y^2/16 = 1 is equal to

A: Explanation of the answer is as follows

Q: how to determine the maximum and minimum distance of an ellipse given the major axis=477,736 and…

A: Length of the major axis is 477,736 Length of the minor axis is 477,078 We need to calculate the…

Q: For the hyperbola given by (9x^2)- (4y^2) -36x -24y - 36 = 0, find the distance between its…

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Q: Which graph represents the ellipse given by x^2/4+y^2/1=1?

A: Given equation of ellipse is x24+y21=1. We know that the standard equation of ellipse is given as:…

Q: Let 4x^2+3y^2+8x-6y=5 find the center and foci. Graph

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