Question

@mathkid007 @mathkid55 @jim_thompson5910 @Mertsj

Answer 1

also chose F

Answer 2

It says "greater than" so the points would be outside the ellipse.

Answer 3

Try plugging in an example point in the interior of our ellipse, e.g. \((0,0)\). What do you find?

Answer 4

Choose all the points which are listed and which are outside the ellipse.

Answer 5

Next, try plugging in a point just not within in our ellipse, e.g. \((0,4)\). What do you observe about this point?

Answer 6

Essentially, the ellipse formula is a 'skewed' distance metric; the points on our ellipse are where we are some fixed 'distance' from the origin. If you're within the interior, your 'distance' is too small; if on the outside, your 'distance' is too big. Since we're looking for points that are *at least* the specified distance away from our center, we're looking for points either on our outside the region bound by our ellipse -- so points C, D, E, F.

Answer 7

@Mertsj in the future I'd suggest you try to explain *why* this corresponds to points on the outside of the ellipse. Additionally you are forgetting points that lie *on* the ellipse...