Choose the correct statement among the following:

Options

A. The upper surface of a stationary liquid is always horizontal.
B. Pressure of a given liquid is directly proportional to the depth of the liquid.
C. Pressure at a given depth inside a stationary liquid is different at different points in the horizontal plane.
D. Pressure at a point in a fluid is inversely proportional to the density of the fluid.

Explanation

**Step-by-Step Solution:**

1. **Understanding the Question**: The question asks us to choose the correct statement among the given options regarding pressure in liquids.

2. **Analyzing Option 1**: The first option states that "the upper surface of a stationary liquid is always horizontal."
- **Explanation**: When a liquid is at rest, the forces acting on it are balanced. Therefore, the surface of the liquid will align itself horizontally due to gravity.
- **Conclusion**: This statement is true.

3. **Analyzing Option 2**: The second option claims that "the pressure of a given liquid is directly proportional to the depth of the liquid."
- **Explanation**: The formula for pressure in a liquid is given by \( P = \rho g h \), where \( P \) is the pressure, \( \rho \) is the density of the liquid, \( g \) is the acceleration due to gravity, and \( h \) is the depth. This indicates that as depth increases, pressure also increases.
- **Conclusion**: This statement is also true.

4. **Analyzing Option 3**: The third option states that "the pressure at a given depth inside a stationary liquid is different at different points in the horizontal plane."
- **Explanation**: In a stationary liquid, the pressure at a given depth is the same at all points in the horizontal plane. Pressure varies with depth, not horizontally.
- **Conclusion**: This statement is false.

5. **Analyzing Option 4**: The fourth option claims that "the pressure at a point in a fluid is inversely proportional to the density of the liquid."
- **Explanation**: This is incorrect because pressure is directly proportional to the density of the liquid as per the formula \( P = \rho g h \).
- **Conclusion**: This statement is also false.

6. **Final Conclusion**: The correct statements are from Option 1 and Option 2. Therefore, the correct answers are options 1 and 2.