Compound having molecular formula `C_(3)H_(6)O_(2)` is:-

Options

A. `C_(2)H_(5)-COOH`
B. `HCOOC_(2)H_(5)`
C. `CH_(3)COCH_(3)`
D. Both (a) and (b)

Explanation

To determine which compounds correspond to the molecular formula \( C_3H_6O_2 \), we can analyze the options provided in the question systematically.

### Step-by-Step Solution:

1. **Identify the Molecular Formula**:
The molecular formula given is \( C_3H_6O_2 \). This indicates that the compound contains 3 carbon atoms, 6 hydrogen atoms, and 2 oxygen atoms.

2. **Analyze Each Option**:
- **Option A**: \( C_2H_5COOH \)
- This represents a carboxylic acid (propanoic acid).
- Counting the atoms:
- Carbons: \( 2 + 1 = 3 \)
- Hydrogens: \( 5 + 1 = 6 \)
- Oxygens: \( 2 \)
- Thus, \( C_2H_5COOH \) corresponds to \( C_3H_6O_2 \).

- **Option B**: \( HCOOC_2H_5 \)
- This represents an ester (ethyl formate).
- Counting the atoms:
- Carbons: \( 1 + 2 = 3 \)
- Hydrogens: \( 1 + 5 = 6 \)
- Oxygens: \( 2 \)
- Thus, \( HCOOC_2H_5 \) also corresponds to \( C_3H_6O_2 \).

- **Option C**: \( C_3H_6O \)
- This compound does not match the formula since it has only one oxygen atom instead of two.
- Therefore, this option does not correspond to \( C_3H_6O_2 \).

- **Option D**: Both A and B
- Since both A and B correspond to the molecular formula \( C_3H_6O_2 \), this option is valid.

3. **Conclusion**:
The correct answer is **Option D**, which states that both A and B are correct.

### Final Answer:
The compound having the molecular formula \( C_3H_6O_2 \) is represented by both options A (propanoic acid) and B (ethyl formate).

---