Question : Two equal tangents PA and PB are drawn from an external point P on a circle with centre O. What is the length of each tangent, if P is 12 cm from the centres and the angle between the tangents is 120
Option 1: 24 cm
Option 2: 6 cm
Option 3: 8 cm
Option 4: cannot be determined
Correct Answer: 6 cm
Solution :
Given,
In
So,
So,
Now, in
⇒
⇒
Hence, the correct answer is 6 cm.