Let Q(x,y,z) be any point which is equidistant from A(0,2,3) and B(2,−2,1), then QA=QBSquaring both sides, we get QA2=QB2⇒(x−0)2+(y−2)2+(z−3)2​=(x−2)2+(y+2)2+(z−1)2​ (Using distance formula)⇒4x−8y−42+4=0⇒x−2y−2+1=0⇒x−2y−1=0Hence, the required locus is x−2y−1=0