Short-lived immunity acquired from mother to foetus across placenta or through mother's milk to the infant is catego- rized as:

Options

A. Active immunity
B. passive immunity
C. Cellular immunity
D. Innate non-specific immunity

Answer

### Step-by-Step Solution:

1. **Understanding the Question**: The question asks about the type of immunity that is short-lived and is acquired from the mother to the fetus either through the placenta or through breast milk.

2. **Identifying the Options**: The options provided are likely to include types of immunity such as passive immunity, active immunity, cellular immunity, and innate immunity.

3. **Defining Passive Immunity**: Passive immunity is defined as the type of immunity where antibodies are transferred from one individual to another. In this case, the mother transfers antibodies to the fetus through the placenta or to the infant through breast milk.

4. **Examples of Passive Immunity**: The classic example of passive immunity is the transfer of maternal antibodies (IgG) to the fetus during pregnancy and the transfer of antibodies (IgA) through breast milk after birth.

5. **Differentiating from Other Types of Immunity**:
- **Active Immunity**: This is when the body’s immune system produces its own antibodies in response to an antigen. This is not the case here since the antibodies are provided by the mother.
- **Cellular Immunity**: This involves T cells and does not pertain to the transfer of antibodies from mother to child.
- **Innate Immunity**: This is the body’s first line of defense and does not involve the transfer of antibodies.

6. **Conclusion**: Based on the definitions and examples, the correct answer to the question is that the short-lived immunity acquired from mother to fetus or through mother's milk is categorized as **passive immunity**.

### Final Answer:
The short-lived immunity acquired from mother to fetus across the placenta or through mother's milk to the infant is categorized as **passive immunity**.