GATE Problem on Precision Rectifier Transfer Curve

This GATE problem concerns the Full Wave Precision Rectifier circuit and its transfer characteristic curve.

[@AllenSA_Lily]

Thank you Sir
Case1 :for the postive cycle and then the diode open and i =0A
vi=v-=v+
So vi-vi/finite=i10k=0A
Thus vo+(10k*0)=vi ...answer
Case2 : Negativ cicyle ,diode is short and v-=0v
So i10k=vi-0/10k=vi/10k, vo+(vi/10k)*10k=0,vo=-vi....answer