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.
Text Solution
AI Generated Solution
To find the length of the tangent PQ to the circle, we can follow these steps:
### Step 1: Understand the given information
We have a circle with:
- Radius (OP) = 5 cm
- Distance from the center (O) to point Q (OQ) = 12 cm
### Step 2: Identify the right triangle
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