A rectangular picture frame has the dimensions shown in
2 answers:
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Answer:
Step-by-step explanation:
The directrices in this case are vertical lines, so we have a horizontal ellipse. The equation for that ellipse is:
The center of the ellipse is (h,k), the diretrix is x = d and the foci are given by (h+c, k) and (h-c, k)
So, comparing the foci, we have that k = 0 and:
Adding these two equations, we have:
We can find the value of a^2 using the property:
Using c = 2 and d = 4, we have:
Now, to find b^2, we use the property:
So the equation of the ellipse is: