To solve the question regarding the floral characters of the family Liliaceae, we will analyze the features of this family step by step.
### Step-by-Step Solution:
1. **Understanding the Family Liliaceae**:
- Liliaceae is a large family of flowering plants, primarily monocotyledons. It includes many economically important species.
2. **Floral Symmetry**:
- The flowers of Liliaceae are **actinomorphic**, meaning they exhibit radial symmetry. This means the flower can be divided into similar halves by multiple planes.
3. **Flower Structure**:
- The flowers are **bisexual**, indicating that they contain both male (stamens) and female (pistils) reproductive parts.
4. **Arrangement of Floral Parts**:
- The floral parts are arranged in **trimerous** condition. This means that the calyx, corolla, stamens, and pistils are typically in multiples of three.
5. **Stamen Characteristics**:
- The number of stamens is usually **six**, and they are described as **polyandrous**, meaning the stamens are free and not fused together.
6. **Anther Structure**:
- The anthers of the stamens are **dithecus**, meaning each anther has two lobes.
7. **Ovary Structure**:
- The ovary is **tricarpillary** (composed of three carpels), **syncarpous** (the carpels are fused), and **superior** (the ovary is positioned above the attachment of other flower parts).
8. **Placentation**:
- The placentation in Liliaceae is **axile**, meaning the ovules are attached to the central axis of the ovary.
9. **Evaluating Options**:
- Based on the above features, we can evaluate the provided options:
- **Option A**: Tetramerous, actinomorphic - Incorrect (should be trimerous).
- **Option B**: Trimerous, actinomorphic, polyandrous, superior ovary, axile placentation - Correct.
- **Option C**: 6 tepals, zygomorphic - Incorrect (should be actinomorphic).
- **Option D**: Bisexual, zygomorphic - Incorrect (should be actinomorphic).
10. **Conclusion**:
- The correct answer is **Option B**: Trimerous, actinomorphic, polyandrous, superior ovary, axile placentation.