From an educational perspective, this circuit is invalid and unsolvable. The output of an ideal opamp can be considered an ideal (controlled) voltage source. This means that two ideal voltage sources are potentially applying two different voltages to the same output node which is naturally unsolvable.
how can I analyse state of OPAMP
Analyzing the shown schematic assuming ideal components is impossible.
I can venture a guess what will happen in real-life though. Typically, if you short-circuit two voltage sources, it will result in a very high current through the very low-resistive connection. This connection will heat up and burn through. It is also possible that the connection doesn't break, but that the output driver of the opamp blows up instead. Perhaps for some opamps, you will be able to keep it running if the opamp sufficiently limits the current, in which case the opamp has no control over its output and you can basically remove the opamp without changing the circuit voltages.
I'm not willing to bet my money on it that these are the only ways your circuit can fail though.