Consider the two statements :
P : Raj Kapoor is alive .
Q : Raj Kapoor lives in Delhi . Write the following statements in Symbolic form.
It is not true that Raj Kapoor is alive and he lives in Delhi .

Answer

To convert the given statements into symbolic form, we will follow these steps:

1. **Identify the Statements**:
- P: Raj Kapoor is alive.
- Q: Raj Kapoor lives in Delhi.

2. **Understand the Phrase**: The phrase "It is not true that Raj Kapoor is alive and he lives in Delhi" can be broken down into its components.

3. **Negation**: The phrase "It is not true that" indicates that we need to take the negation of the entire statement that follows it.

4. **Conjunction**: The phrase "Raj Kapoor is alive and he lives in Delhi" can be expressed as a conjunction of the two statements P and Q. In symbolic logic, the conjunction is represented by the symbol ∧ (and).

5. **Combine the Components**: Therefore, the statement can be expressed as:
- The conjunction of P and Q is written as (P ∧ Q).
- The negation of this conjunction is written as ¬(P ∧ Q).

Thus, the symbolic form of the statement "It is not true that Raj Kapoor is alive and he lives in Delhi" is:
**¬(P ∧ Q)**.