In the following circuit for a certain set of ω, R and C output voltage is |V0| = 1 V

Which of the following statement is/are correct?

1
The above circuit is high pass filter
2
If the value of capacitance is double then the output |V0| will be 1 V
3
The above circuit is all pass filter
4
The -3 dB cut off frequency is halved if resistance value is doubled

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