Which of the following equations represents an ellipse with a minor axis of length 10 and foci located at (3,6) and (7,6)?

It is choice A.

Step-by-step explanation:

The general form is (x - h)^2 / a^2 + (x - k)^2/b^2 = 1 where (h, k) is the center, 2a = major axis and 2b = minor axis.

The ellipse in the question has a^2 > b^2 so the major axis is  parallel to the x axis.

The minor axis  which is parallel to the y-axis is of length 10 so b^2 = (1/2 * 10)^2

= 25 so we can eliminate C.

The center of the ellipse = the midpoint of a line joining the focii so it is:

( 3+ 7)/2,  6)

= (5,6).

As (h, k) is the center we have h = 5 and k = 6.

So it is choice A.

22

step-by-step explanation: