Read the following statements and select the correct option
(a) All triploblastic animals are eucoelomates
(b) They have a false coelom .

Options

A. (b) is correct but (a) is false
B. both (a) and (b) are true
C. (a) is correct but (b) is false
D. both (a) and (b) are false

Answer

To solve the question, we need to analyze the given statements about triploblastic animals and their coelomic structure.

### Step-by-Step Solution:

1. **Understanding Triploblastic Animals**:
- Triploblastic animals are those that have three germ layers: ectoderm, mesoderm, and endoderm.
- They can be classified into three categories based on their coelomic structure: acoelomates (no coelom), pseudocoelomates (false coelom), and eucoelomates (true coelom).

**Hint**: Remember the three types of body plans based on coelomic structure: acoelomate, pseudocoelomate, and eucoelomate.

2. **Analyzing Statement (a)**:
- The statement claims that "All triploblastic animals are eucoelomates."
- This is incorrect because triploblastic animals can also be acoelomates or pseudocoelomates. For example, flatworms (phylum Platyhelminthes) are triploblastic but are acoelomates.

**Hint**: Consider examples of triploblastic animals that do not have a true coelom.

3. **Analyzing Statement (b)**:
- The statement claims that "They have a false coelom."
- This is also misleading. While some triploblastic animals (specifically pseudocoelomates) do have a false coelom, not all triploblastic animals fall into this category. Acoelomates do not have a coelom at all, and eucoelomates have a true coelom.

**Hint**: Clarify the distinction between false coelom (pseudocoelom) and true coelom (eucoelom).

4. **Conclusion**:
- Since both statements (a) and (b) are incorrect, the correct option is that both statements are false.

### Final Answer:
The correct option is: **Both a and b are false.**