Assertion: The path of one projectile as seen for another projectile is a striaght line.
Reason: Two projectiles projected with same speed at angles `alpha` and `(90^(@)-alpha)` have same range.

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 both the assertion and the reason provided.

### Step 1: Analyze the Assertion
The assertion states that "The path of one projectile as seen from another projectile is a straight line."

- When two projectiles are in motion, they both experience the same gravitational acceleration (downward).
- If we consider the motion of one projectile relative to the other, we can calculate the relative velocity.
- The relative acceleration between the two projectiles is zero since both are affected by the same gravitational force.
- Therefore, the motion of one projectile with respect to the other will be uniform, resulting in a straight-line path.

### Step 2: Analyze the Reason
The reason states that "Two projectiles projected with the same speed at angles α and (90° - α) have the same range."

- The formula for the range \( R \) of a projectile is given by:
\[ R = \frac{u^2 \sin(2\theta)}{g} \]
- For angles α and (90° - α):
- When θ = α, \( R_1 = \frac{u^2 \sin(2\alpha)}{g} \)
- When θ = (90° - α), \( R_2 = \frac{u^2 \sin(2(90° - \alpha))}{g} = \frac{u^2 \sin(180° - 2\alpha)}{g} = \frac{u^2 \sin(2\alpha)}{g} \)
- Thus, both ranges are equal, confirming that the reason is true.

### Step 3: Conclusion
- Both the assertion and the reason are true.
- However, the reason does not directly explain the assertion. The assertion is about the relative motion of projectiles, while the reason discusses the equality of ranges.

### Final Answer
- Assertion: True
- Reason: True
- The reason is not the correct explanation for the assertion.