Let a = {(x, y) | x ^ 2 / 4 + y ^ 2 / 16 = 1}, B = {(x, y) | y = 3 ^ x}, then the number of subsets of a ∩ B is But there are only two intersections in the image. Why square? There are only two coordinate points. I'm stuck here

Let a = {(x, y) | x ^ 2 / 4 + y ^ 2 / 16 = 1}, B = {(x, y) | y = 3 ^ x}, then the number of subsets of a ∩ B is But there are only two intersections in the image. Why square? There are only two coordinate points. I'm stuck here

A is obviously a circle, which can be represented by graphs
B (0,1)
And the vertex of a major axis (0,4)
So (0,1) is in the ellipse
We can see by drawing
AB has two intersections
So a and B have two elements
So the number of subsets = 2 & # 178; = 4