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Hello Jash,
While written for the LM339 family, section 5 about unused inputs is also applicable to the LMC6762.
Application Design Guidelines for LM339, LM393, TL331 Family Comparators
Do not float the inputs, as that will cause the output to randomly transition.
Also it is not recommended to tie the inputs together, as that can also cause random output transitions.
The inputs should have a fixed differential potential across them to keep the output in a known state. The appnote goes into this, but do note that the LMC6762 is a CMOS input and does not have current coming out of the inputs, so the self-biasing ("IIB Biasing") resistor trick will not work.
You could ground one input and tie the other input to a fixed voltage within the supply voltage range, or even "borrow" the reference voltage on the other channel.
Of course, leave the output unconnected...