If two circles of radii r1 and r2 have n common tangents, and the distance between their centers is less than |r1 - r2|, then n is:
Show answer & explanation
Correct answer: A
Explanation
Given:
Radius of two circles = r₁, r₂
Distance between centers < |r₁ − r₂|
By formula:
If the distance between the centers is less than |r₁ − r₂|, then one circle will be inside the other and no common tangent will be formed.
In this case, no common tangent between the two circles is possible.