A tangent PQ at a point P of a circle of radius 5 cm meets a line through the centre O at a point Q so that `O Q=12\ c m`. Length PQ is :
(A) 12 cm (B) 13 cm (C) 8.5 cm (D) `sqrt(119)`cm.

Explanation

To find the length of tangent PQ at point P of a circle with a radius of 5 cm, where the line through the center O meets at point Q such that OQ = 12 cm, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Given Values**:
- Radius of the circle (OP) = 5 cm
- Distance from the center to point Q (OQ) = 12 cm

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