The distance between the centers of two circles having radii of 24 cm and 18 cm, respectively, is 48 cm. Find the length (in cm) of a transverse/indirect common tangent to the two circles.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 6√15.
Formulae:
AB = √(distance between two centers)2 - (r1 + r2)2
⇒ AB = √(482 - (24 + 18)2)
⇒ AB = √(2304 - 1764)
⇒ AB = √540
⇒ AB = 6√15