An ideal $\text{OPAMP}$ circuit with a sinusoidal input is shown in the figure. The $3 \; \text{dB}$ frequency is the frequency at which the magnitude of the voltage gain decreases by $3 \; \text{dB}$ from the maximum value. Which of the options is/are correct?
- The circuit is a low pass filter.
- The circuit is a high pass filter.
- The $3 \; \text{dB}$ frequency is $1000 \; \text{rad/s}.$
- The $3 \; \text{dB}$ frequency is $\frac{1000}{3} \; \text{rad/s}.$