Statement-1: For `A+2BtoC`(rate =`K[A]^(1)[B]^(0)`), the half life time of reaction is only defined when concentration of A and B are in stoichometric ratio
Statement-2 :For above reaction, half life of reaction is directly proportional to concentration of A and not to concentration of B due to its zero order.

Options

A. Statement-1 is True, Statement-2 is True, Statement-2 is a correct explanation for Statement-1
B. Statement-1 is True, Statement-2 is True, Statement-2 is NOT a correct explanation for Statement-2
C. Statement-1 is True, Statement-2 is False.
D. Statement-1 is False, Statement-2 is True.

Explanation

To solve the question, we need to evaluate the two statements provided regarding the reaction \( A + 2B \rightarrow C \) and its half-life.

### Step-by-Step Solution:

**Step 1: Analyze Statement 1**
- The reaction is given as \( A + 2B \rightarrow C \).
- The rate of the reaction is expressed as \( \text{rate} = k[A]^1[B]^0 \).
- This implies that the rate depends only on the concentration of \( A \) and is independent of the concentration of \( B \) (since \( [B]^0 = 1 \)).
- The statement claims that the half-life of the reaction is only defined when the concentrations of \( A \) and \( B \) are in a stoichiometric ratio. This is correct because if the concentration of \( B \) is significantly lower than required, it could limit the reaction, making the half-life undefined.

**Conclusion for Statement 1: True**

**Step 2: Analyze Statement 2**
- The second statement asserts that the half-life of the reaction is directly proportional to the concentration of \( A \) and not to the concentration of \( B \) due to its zero-order nature.
- However, since the reaction is first-order with respect to \( A \) (as indicated by the rate law), the half-life for a first-order reaction is given by the formula:
\[ t_{1/2} = \frac{0.693}{k} \text{ (independent of concentration)} \]
- Therefore, the half-life is independent of the concentration of \( A \) and does not depend on \( B \) because \( B \) does not affect the rate.

**Conclusion for Statement 2: False**

### Final Answer:
- Statement 1 is true, and Statement 2 is false. Therefore, the correct option is **Option 3**.