The pts are symmetrical abt. line if the ⊥ distance from the
line is equal
Then mid pt of A(-1,1) and B(1,-1) is
(−1+12,1−12)=(0,0) [using section formula]
(m) slope of line ⊥ to AB = −1mAB
mAB=−1−11+1=−1
m=1
⇒eqn of line is y=x [∵ using y−y1=m(x−x1)]
⇒ pts are symmetrical about y=x