Step 1: Understanding the Metric System.
1 millimetre (mm) is one
-thousandth of a metre, meaning: \[ 1 \, \text{mm} = \frac{1}{1000} \, \text{metre}. \] Step 2: Verifying the Options.
- Option (1): One millimetre is one
-thousandth of a metre, making this the correct answer.
- Option (2): A tenth is 0.1, which is a centimetre (1 cm = 10 mm).
- Option (3): A hundredth is 0.01, not millimetre.
- Option (4): Fiftieth is incorrect.
Conclusion:
Therefore, the correct answer is (1) Thousandth.
$PQ$ is a chord of length $4\ \text{cm}$ of a circle of radius $2.5\ \text{cm}$. The tangents at $P$ and $Q$ intersect at a point $T$. Find the length of $TP$.