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A circle with center at (x,y) = (0.5, 0) and radius = 0.5 intersects with another circle with center at (x,y) = (1,1) and radius = 1 at two points. One of the points of intersection (x,y) is:

1. (0,0)
2. (0.2,0.4)
3. (0.5,0.5)
4. (1,2)

Correct answer: (0.2,0.4)

Solution

The point (0.2, 0.4) lies on both circles, satisfying their equations, which confirms it as a point of intersection. The other options either do not satisfy the equations of both circles or lie outside their respective radii.

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