A tangent PQ at a point P of a circle of radius 5 cm meets a line through the center O at a point Q so that OQ = 12 cm. Length PQ is :

In ΔOPQ, angle P is right angle. [Since radius is perpendicular to tangent]
Using Pythagoras theorem, OQ² = PQ² + OP²
⇒ 12² = PQ² + 5²
⇒ 144 = PQ² + 25
⇒ PQ² = 144 – 25 = 119
⇒ PQ = √119
Hence, the option (D) is correct.