Correct answer is (a) 10 cm
Construction: Join OT.
We know that the radius and tangent are perpendicular at their point of contact In right triangle PTO
By using Pythagoras theorem, we have
PO2 = OT2 + TP2
\(\Rightarrow\) 262 = OT2 + 242
\(\Rightarrow\) 676 = OT2 + 576
\(\Rightarrow\) TP2 = 100
\(\Rightarrow\) TP = 10cm