**Solution:**

The line drawn from the centre of the circle to the tangent is perpendicular to the tangent.

∴ OP ⊥ PQ

also, ΔOPQ is right angled.

OQ = 25 cm and PQ = 24 cm (Given)

By **Pythagoras theorem** in ΔOPQ,

OQ^{2} = OP^{2} +^{ }PQ^{2}

⇒ (25)^{2 }= OP^{2} + (24)^{2}

⇒OP^{2} = 625 - 576

⇒OP^{2} = 49

⇒OP = 7 cm

Option (A) is correct