WBJEE 2019 Math Solved Paper

(D)
(a, a) ∊ because 1 + a2 > 0 ⇒ ρ is reflexive
If 1 + ab > 0 then 1 + ba > 0 ⇒ If (a, b) ∊ ρ then (b, a) ∊ ρ ⇒ ρ is symmetric
Now (−2,

1

8

) ∊ ρ and (

1

8

,10) ∊ ρ
but (–2, 10) ∉ ρ , hence ρ is not transitive.