The locus of a point represented by x=a2t+1t, y=a2t−1t, is

We have,x=a2t+1t,y=a2t−1t⇒ 2xa=1+1t,2ya=1−1t⇒ 2xa−1=1t,1−2ya=1t⇒ 2xa−1=1−2ya⇒x+y=ar which is a straight me.