In the above problem further choose the correct options.

Options

A. The given values are at frequency less than the resonance frequency
B. The given values are at frequency more than the resonance frequency
C. If frequency is increased from the given value, impedance of the circuit will increase
D. If frequency is decreased from the given value, current in the circuit may increase or decrease

Explanation

To solve the question regarding the options related to resonance in an AC circuit, we will analyze each option step by step.

### Step-by-Step Solution:

1. **Understanding Resonance in AC Circuits**:
- In an RLC circuit, resonance occurs when the inductive reactance (XL) equals the capacitive reactance (XC). At this point, the impedance (Z) of the circuit is minimized, and the current is maximized.

2. **Analyzing the Options**:
- **Option 1**: "The given values are at resonance."
- This statement is incorrect because the problem indicates that the frequency is more than the resonance frequency. Therefore, XL is greater than XC, and the circuit is not at resonance.

- **Option 2**: "The frequency is increased from the given value; the impedance of the circuit will increase."
- This statement is correct. When the frequency increases, XL (which is proportional to frequency) increases, while XC (which is inversely proportional to frequency) decreases. The net effect is that the impedance (Z) of the circuit increases.

- **Option 3**: "If the frequency is decreased from the given value, the current in the circuit may increase or decrease."
- This statement is also correct. If the frequency decreases, XC increases and XL decreases. The overall impedance can either increase or decrease depending on the relative magnitudes of XL and XC. Thus, the current can either increase or decrease.

3. **Conclusion**:
- Based on the analysis, the correct options are:
- Option 2: The frequency is increased from the given value; the impedance of the circuit will increase.
- Option 3: If the frequency is decreased from the given value, the current in the circuit may increase or decrease.

### Final Answer:
- The correct options are **Option 2** and **Option 3**.