Let X be a non- empty set and Let de : X xX→ [0,0) be a function. If the following condition hold for any X, Y, Z EX : is If dq (Xgy) E dq (I9x)=0 , then x=y ; ii» de (xox) s dq (x,2) + dq (2,y). Then pair (X,dz) is called a dis located qua si me tric Space. Let X= R* U j0} and dg (x,y)=x+max}x,y} for any X,y E x. Then prove that (X, dq). is dislocated quasi metnic Space - a

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