STATEMENT-1: The maixmum range along the inclined plane, when thrown downward is greater than that when thrown upward along the same inclined plane with constant velocity.
STATEMENT-2: The maximum range along inclined plane is independent of angle of inclination.

Options

A. Statement-I is true, Statement-II is true, Statement-II is correct explanation for Statement-I
B. Statement-I is true, Statement-II is true, Statement-II is NOT a correct explanation for Statement-I
C. Statement-I is true, Statement-II is false
D. Statement-I is false, Statement-II is true.

Explanation

To solve the given problem, we need to analyze both statements provided and determine their validity. Let's break it down step by step.

### Step 1: Analyze Statement 1
**Statement 1:** The maximum range along the inclined plane, when thrown downward, is greater than that when thrown upward along the same inclined plane with constant velocity.

- When a projectile is thrown downward along an inclined plane, it benefits from the gravitational acceleration acting in the same direction as the motion, which increases its range.
- Conversely, when thrown upward, the projectile works against gravity, which reduces its effective range.
- Therefore, it is reasonable to conclude that the maximum range when thrown downward is indeed greater than when thrown upward.

**Conclusion for Statement 1:** True

### Step 2: Analyze Statement 2
**Statement 2:** The maximum range along the inclined plane is independent of the angle of inclination.

- To determine the maximum range along an inclined plane, we can use the formula for the range \( R \):
\[ R = \frac{u^2 \sin(2\theta)}{g \cos(\alpha)} \]
where \( u \) is the initial velocity, \( \theta \) is the angle of projection, and \( \alpha \) is the angle of inclination.
- From this formula, it is clear that the range \( R \) depends on the angle of inclination \( \alpha \) since \( \cos(\alpha) \) appears in the denominator.
- Thus, the statement that the maximum range is independent of the angle of inclination is incorrect.

**Conclusion for Statement 2:** False

### Final Conclusion
- **Statement 1 is true.**
- **Statement 2 is false.**

Therefore, the correct option is that Statement 1 is true and Statement 2 is false.

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