Let F1 = (-8,0) and F2 = (8,0), and P = (x,y). Assuming that a string 20 units long is anchored at F1 and F2 is used to draw an ellipse, derive the equation of the ellipse and write it in the form Ax^2 + By^2 = C.

Q: write the equation of the ellipse 9x2+36y2+90x+216y+225= 0 in standard form, please show all written…

A: Standard equation of ellipse is x-x02a2+y-y02b2=1    when major axis on the horizontal axis

Q: Write the general form equation of the parabola that passes through (3,-13) with vertex at (5,-1)

A: We use f(x) =a(x-h)²+k where vertex is (h,k).

Q: Parameterize an ellipse which begins at (-3, 3) at t=0 and then passes through (-6, 1), (-3, -1),…

A: First we have to find equation of ellipse in rectangular coordinate.

Q: Write the equation of a parabola in standard form from the given information Vertex at (2, -2)…

A: Vertex of the parabola is at 2, -2 and focus at 2, -3. Now vertex is, h, k=2, -2⇒h=2  &  k=-2…

Q: 8) and directrix y = 7? A B y = -(x - 5)² +8 - y=- 1 -(x + 5)² +8 y = -(x + 5)² - 8 D_y==(x + 5)² +8…

A: Given query is to find the equation of the parabola.

Q: Write the equation for the ellipse of the foci F1 (1, 1), F2 (−2, 1) and the sum of the focal rays…

A:

Q: The standard equation of the ellipse is x233+y249=1 because it says incorrect on my end. Can you…

A:

Q: find an equation of the ellipse passing through the points (1,2) and (3,1)

A: Given, ellipse passing through the points (1,2) and (3,1) .

Q: Find the area and perimeter of an ellipse with major axis = 6 and minor axis = 4.

A: Topic = Ellipse