Assertion: Horizontal range is same for angle of projection `theta and (90^(@)- theta)`.
Reason : Horizontal range is independent of angle of projection.

Options

A. If both assertion `&` Reason are True `&` the Reason is a corrrect explanation of the Asserion.
B. If both Assertion `&` Reason are True but Reason is not correct explanation of the Assertion.
C. If Assertion is Trie but the Reason is False.
D. If both Assertion `&` Reason are false

Answer

To solve the question, we need to analyze the assertion and the reason provided.

### Step-by-Step Solution:

1. **Understanding the Assertion**: The assertion states that the horizontal range is the same for the angle of projection \( \theta \) and \( (90^\circ - \theta) \).

2. **Formula for Horizontal Range**: The range \( R \) of a projectile launched with an initial velocity \( u \) at an angle \( \theta \) is given by the formula:
\[ R = \frac{u^2 \sin(2\theta)}{g} \]
where \( g \) is the acceleration due to gravity.

3. **Calculating Range for \( \theta \)**: For the angle \( \theta \):
\[ R_\theta = \frac{u^2 \sin(2\theta)}{g} \]

4. **Calculating Range for \( (90^\circ - \theta) \)**: For the angle \( (90^\circ - \theta) \):
\[ R_{90 - \theta} = \frac{u^2 \sin(2(90^\circ - \theta))}{g} \]
Simplifying this, we have:
\[ R_{90 - \theta} = \frac{u^2 \sin(180^\circ - 2\theta)}{g} \]
Since \( \sin(180^\circ - x) = \sin(x) \), we get:
\[ R_{90 - \theta} = \frac{u^2 \sin(2\theta)}{g} \]

5. **Comparing the Two Ranges**: From the calculations above, we see that:
\[ R_\theta = R_{90 - \theta} \]
This confirms that the assertion is true: the horizontal range is indeed the same for angles \( \theta \) and \( (90^\circ - \theta) \).

6. **Understanding the Reason**: The reason states that the horizontal range is independent of the angle of projection. However, from the derived formula, we see that the range \( R \) depends on \( \theta \) through the term \( \sin(2\theta) \). Therefore, the reason is false.

7. **Conclusion**: The assertion is true, but the reason is false. Thus, the correct answer is that the assertion is true and the reason is false.

### Final Answer:
- **Assertion**: True
- **Reason**: False