00:01
We are given the equation of an ellipse x minus 4 squared plus 4 times y minus 3 squared equals 16.
00:06
And the problem asks us to find the sum of the distances from any fixed point on the curve to the two foci.
00:13
So basically if this is our ellipse, these are our two foci.
00:17
It's basically saying if we choose a point, this point right here, it wants to find the sum of this line plus this line.
00:24
And let's write out the equation of elliptin standard form.
00:30
The equation of elliptin standard form, let's say, is x squared over a squared.
00:36
I'm just going to assume that the center is at zero, zero.
00:40
Just for demonstration purposes, y squared over b squared is equal to 1...