The distance between the centers of two circles of radii 4 cm and 2 cm is 10 cm. The length (in cm) of a transverse common tangent is:
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 8.
We know that,
The length of a transverse common tangent = √(distance between the centres)2 - (R1 + R2)2
⇒ √(10)2 - (4 + 2)2
⇒ √100 - 36
⇒ √64
⇒ 8