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Differential amplifier with feedback resistor

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In this circuit, if a resistor of 1 M\$\Omega\$ is connected between A and B, what is the effect on the stability of the quiescent point?

The analysis I made led me to believe it would provide positive feedback and thus won't stabilize the point, but I dont feel safe enough as to assure it. Which is a good method for verifying this? I couldn't think of a way to check it in a circuit simulation


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