1. Perpetual Succession: A company continues to exist irrespective of changes in ownership or the demise of its members.
2. Common Seal: The common seal is the official signature of the company used for validating documents.
3. Artificial Person: A company is considered a legal entity that can enter contracts, own property, and sue or be sued.
4. Liability: Shareholders have limited liability, meaning they are only responsible for the unpaid value of their shares, protecting personal assets from business debts.
These features make a company a distinct legal entity, providing stability and legal protection to its members.
In the adjoining figure, \( AP = 1 \, \text{cm}, \ BP = 2 \, \text{cm}, \ AQ = 1.5 \, \text{cm}, \ AC = 4.5 \, \text{cm} \) Prove that \( \triangle APQ \sim \triangle ABC \).
Hence, find the length of \( PQ \), if \( BC = 3.6 \, \text{cm} \).
In the adjoining figure, $\triangle CAB$ is a right triangle, right angled at A and $AD \perp BC$. Prove that $\triangle ADB \sim \triangle CDA$. Further, if $BC = 10$ cm and $CD = 2$ cm, find the length of AD.