The distance between the centres of two circles having radii 16 cm and 8 cm, is 26 cm. The length (in cm) of the direct common tangent of the two circles is:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 2√153.
We know that,
AB = √d2 - (r1 - r2)2
⇒ AB = √262 - (16 - 8)2
⇒ AB = √262 - 82
⇒ AB = √676 - 64
⇒ AB = √612
⇒ AB = √2 × 2 × 153
⇒ AB = 2√153 cm