Option C: 2
When two circles intersect at two distinct points, only 2 common tangents (both external) can be drawn; no internal tangent is possible as the circles overlap.
When two circles intersect at two points, they partially overlap. Internal (transverse) common tangents cannot be drawn because the circles cross each other. Only the 2 external common tangents exist. Remember: 4 tangents → circles external to each other; 3 → externally touching; 2 → intersecting; 1 → internally touching; 0 → one inside the other.