can you please help me sir

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Write the equation of an ellipse with a major axis of length 8 and co-vertices (0, 3) and (0, -3).

write the equation of an ellipse with vertices (10, 0) and (-10, 0) and co-vertices (0, 2) and (0, -2).

May 6th, 2015

The basic formula for an ellipse is (x-h)^2/a^2 + (y-k)^2/b^2 = 1; where (h,k) is the center of the ellipse and a is the distance from the center to each "x" vertex and "b" is the distance from the center to the "y" vertex.

In the first, the center is (0,0) because that is the half way point between the verticies.  The major axis has a length of 8, that means that the value of "a" is half of 8 or 4 (a=4).  b=3

That gives us: x^2/16 + y^2/9 =1

The second, also has a center at (0,0).  This time a=5 and b=2.

That give us: x^2/25 + y^2/4 = 1

Hope that helps.


May 6th, 2015

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