Two circles intersect at two points. Which of the following statements is true?

Correct option is B

Given :

Two circles intersect at two points.

Solution :

When two circles intersect at two distinct points:

They have exactly 2 common tangents

Both tangents are external tangents

No internal tangents are possible in this case

Now check options:

A. Internal tangent is longer than external tangent 
→ Internal tangents do not exist here.

B. Only two common tangents exist 
→ Correct

C. The number of tangents depends on radii 
→ It depends on the relative position, not just radii.

D. They must be concentric 
→ Concentric circles do not intersect.