A pair of tangents can be constructed from a point \(P\) to a circle of radius \(3.5\,\text{cm}\) situated at a distance of \(3\,\text{cm}\) from the centre.
Step 1: Recall the condition for drawing a tangent from a point to a circle.
A tangent is possible only if the point lies outside the circle. This means the distance of the point from the centre (\(d\)) should be greater than or equal to the radius (\(r\)).
Step 2: Write the given values in SI units (cm).
Step 3: Compare distance and radius.
Here, \(d = 3.0\,\text{cm}\) and \(r = 3.5\,\text{cm}\).
Since \(d < r\), the point \(P\) is inside the circle.
Step 4: Conclusion.
If the point is inside the circle, no tangent can be drawn. Therefore, the statement is false.