The radius of a circle is 8 cm. The distance of a point lying outside the circle from the centre is 17 cm. The length of the tangent drawn from the outside point to the circle is:
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 15 cm.
In △ABO
⇒ AO2 = BO2 + BA2
⇒ 172 = 82 + BA2
⇒ BA2 = 289 - 64
⇒ BA2 = 225
⇒ BA = 15 cm
So, the length of the tangent drawn from the outside point to the circle is 15 cm.