WBJEE 2018 Math Solved Paper

xRy ⇒ x - y is zero or irrational
xRx ⇒ 0 ∴ reflective
if xRy ⇒ x - y is zero or irrational
⇒ y - x is zero or irrational
∴ yRx symmetric
xRy ⇒ x - y is 0 or irrational
yRz ⇒ y - z is 0 or irrational
then (x - y) + (y - z) = x - z may be rational
∴ It is not transitive