A pair of tangents can be constructed from a point P to a circle of radius 3.5 cm situated at a distance of 3 cm from the centre.

Explanation

To determine whether a pair of tangents can be constructed from a point \( P \) to a circle of radius \( 3.5 \) cm, situated at a distance of \( 3 \) cm from the center, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Given Values**:
- Radius of the circle (\( r \)) = \( 3.5 \) cm
- Distance from the center of the circle to the point \( P \) = \( 3 \) cm

2. **Understand the Condition for Tangents**:
- For tangents to be drawn from an external point to a circle, the distance from the point to the center of the circle must be greater than the radius of the circle. This is expressed mathematically as:
\[ OP > r \]
where \( OP \) is the distance from the point \( P \) to the center \( O \) of the circle.

3. **Check the Condition**:
- Here, \( OP = 3 \) cm and \( r = 3.5 \) cm.
- We need to check if:
\[ 3 \, \text{cm} > 3.5 \, \text{cm} \]
- This condition is **not true** since \( 3 \) cm is less than \( 3.5 \) cm.

4. **Conclusion**:
- Since the distance from point \( P \) to the center of the circle is less than the radius of the circle, it is not possible to draw a pair of tangents from point \( P \) to the circle.

### Final Answer:
It is not possible to construct a pair of tangents from point \( P \) to the circle.

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