29 Answered Questions for the topic Ellipse


Math - Ellipse Problem (Conic Section)

Madison and Crysh are visiting a whispering gallery. Each of them is standing at a focus and is 1 m. from the nearest wall. If the ceiling of the gallery at the center is 4m. high from the floor,... more


Finding the equation and solution of the given.

Length of the major axis is 10, the foci are on the x-axis, the ellipse passes through the point ( √5, 2).



The vertices and foci of 5x2 -4y2 -40x +72y -424 = 0 are, respectively, the foci and vertices of an ellipse.Find the standard equation of this ellipse. Use the mid-point, and perpendicular bisector... more


Write the following in standard form and identify the conic section. 2x^2+ 7y^2 + 24x + 84y + 310 = 0

I need step by step instructions to put this ellipse equation in standard form.


Write an equation for an ellipse that has foci at (19,3) and (-7,3), with the length of the major axis being 30.

I just need the thorough steps. Thank you. I need a, b, h, k, etc.


Whispering Gallery Word Problem

In a whispering gallery, any sound at one focus of an ellipse reflects off the elliptical roof directly to the other focus. If the center of the whispering gallery is x, find the distance that... more


Find an equation of the ellipse

Find an equation of the ellipse that has vertices (4, 2) & (-2, 2) and foci (3, 2) and (-1, 2)

Write the equation in standard form:

given the following equation of the ellipse in general form, 3x^2+y^2-6x+4y+4=0, complete the square to write the equation in standard form.


The ellipse with foci at (0, 6) and (0, -6);y-intercepts (0, 8) and (0, -8).


find the points of tangency

Find the points of tangency given f(x) = 15/2/x is tangent to x2/25 + y2/9 = 1


Answer the situational problem involving ellipse and hyperbola

A road passes through a tunnel in the form of a semi-ellipse. In order to widen the road to accomodate more traffic,engineers must design a larger tunnel that is twice as wide and 1.5 times as tall... more


Answer the situational problem involving ellipse and hyperbola

The arch of a bridge is a semi ellipse with a horizontal major axis. The span is 30ft and the top of the arch is 10ft above the major axis. The roadway is horizontal and is 2ft above the top of the... more


Find an equation for the ellipse

Find an equation for the ellipse that satisfies the given conditions:   Foci (1, ±4)   Vertices (1, ±7)


change this equation in standard form by completing the square. 
Ellipse Math Help


solve for y for x^2/4 + y^2/25 =1

please solve for y for this ellipse problem!


(ellipse)Reduce the equation 32𝑥2 + 50𝑦2 − 128𝑥 − 672 = 0 to standard form.

Reduce the equation 32𝑥2 + 50𝑦2 − 128𝑥 − 672 = 0 to standard form. Locate the center, foci, vertices, ends of latera recta, and trace the curve.
Ellipse Calculus Area


area of ellipse- calculus

find the area of the ellipse (x+2y)2 + (3x+4y)2 =1


36x^2 + 25y^2 = 1 put into standard form.I am stuck. How do I reduce the left side into fractions while keeping the 1 on the right side of the equation?

I have to find the vertices, foci, and both axes lengths.  I can do all this but I don't understand what to do with 36x^2 + 25y^2  without affecting the 1 on the right side of the equationn



If the major axis is horizontal and has a length of 22 units, the minor axis has a length of 18, and the ellipse has a center (-7,6) fill in the missing denominators for the equation and determine... more


how do i find centers and intercepts of an ellipse and give the domain and range of a graph?

I am asked to find the center and intercepts of an ellipse and a hyperbola. also, to give the domain and range of each graph i am given.


the ecentricity of the ellipse 4x^2+y^2-8x+2y+4

the eccentricity of the ellipse 4x2+y2-8x+2y+4


regarding elips

the orbit of the earth around the sun is an ellipse  sun  is on one foci. if length of major axis is 300 million km and eccentricity is 0.0167 find minimum and maximum distance of the earth from... more


how to solve an ellipse



find the equation of an ellipse with a center at (0,0) and focus at (1,0) and vertex at (5,0)

need to find the equation of an ellipse


converting cartesian co-ordinations to Polar co-ordination for an ellipse

An ellipse with the equation [((x-1)^2)/9]+[(y^2)/8]=1Show that the given ellipse in polar co-ordinates has the form a+rcosTheta = bradditionally determine the values of a and b

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